7474503550464 has 320 divisors, whose sum is σ = 22740979008000. Its totient is φ = 2422248136704.

The previous prime is 7474503550457. The next prime is 7474503550499. The reversal of 7474503550464 is 4640553054747.

7474503550464 is a `hidden beast` number, since 7 + 4 + 7 + 45 + 0 + 3 + 550 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7474503550464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740118087 + ... + 740128185.

It is an arithmetic number, because the mean of its divisors is an integer number (71065559400).

Almost surely, 2^{7474503550464} is an apocalyptic number.

7474503550464 is a gapful number since it is divisible by the number (74) 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 7474503550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11370489504000).

7474503550464 is an abundant number, since it is smaller than the sum of its proper divisors (15266475457536).

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

7474503550464 is a wasteful number, since it uses less digits than its factorization.

7474503550464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 7474503550464 in words is "seven trillion, four hundred seventy-four billion, five hundred three million, five hundred fifty thousand, four hundred sixty-four".