10074837024 has 480 divisors, whose sum is σ = 36356221440. Its totient is φ = 2671460352.

The previous prime is 10074836999. The next prime is 10074837029. The reversal of 10074837024 is 42073847001.

It is a happy number.

10074837024 is a `hidden beast` number, since 100 + 7 + 483 + 70 + 2 + 4 = 666.

It is a super-2 number, since 2×10074837024² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10074837024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10074837029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27451689 + ... + 27452055.

It is an arithmetic number, because the mean of its divisors is an integer number (75742128).

Almost surely, 2^10074837024 is an apocalyptic number.

10074837024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10074837024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178110720).

10074837024 is an abundant number, since it is smaller than the sum of its proper divisors (26281384416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10074837024 is a wasteful number, since it uses less digits than its factorization.

10074837024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10074837024 in words is "ten billion, seventy-four million, eight hundred thirty-seven thousand, twenty-four".