74935724640 has 384 divisors, whose sum is σ = 284414312448. Its totient is φ = 16221911040.

The previous prime is 74935724603. The next prime is 74935724657. The reversal of 74935724640 is 4642753947.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4887867 + ... + 4903173.

It is an arithmetic number, because the mean of its divisors is an integer number (740662272).

Almost surely, 2^74935724640 is an apocalyptic number.

74935724640 is a gapful number since it is divisible by the number (70) 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 74935724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142207156224).

74935724640 is an abundant number, since it is smaller than the sum of its proper divisors (209478587808).

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

74935724640 is a wasteful number, since it uses less digits than its factorization.

74935724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 74935724640 in words is "seventy-four billion, nine hundred thirty-five million, seven hundred twenty-four thousand, six hundred forty".