20076073640 has 128 divisors (see below), whose sum is σ = 52212695040. Its totient is φ = 6805161216.

The previous prime is 20076073627. The next prime is 20076073643. The reversal of 20076073640 is 4637067002.

It is a super-3 number, since 3×20076073640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 20076073640.

It is not an unprimeable number, because it can be changed into a prime (20076073643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12338507 + ... + 12340133.

It is an arithmetic number, because the mean of its divisors is an integer number (407911680).

Almost surely, 2^20076073640 is an apocalyptic number.

20076073640 is a gapful number since it is divisible by the number (20) 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 20076073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26106347520).

20076073640 is an abundant number, since it is smaller than the sum of its proper divisors (32136621400).

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

20076073640 is a wasteful number, since it uses less digits than its factorization.

20076073640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 20076073640 in words is "twenty billion, seventy-six million, seventy-three thousand, six hundred forty".