74632635264 has 256 divisors, whose sum is σ = 221283336960. Its totient is φ = 22096281600.

The previous prime is 74632635247. The next prime is 74632635307. The reversal of 74632635264 is 46253623647.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 41998344 + ... + 42000120.

It is an arithmetic number, because the mean of its divisors is an integer number (864388035).

Almost surely, 2^74632635264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74632635264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110641668480).

74632635264 is an abundant number, since it is smaller than the sum of its proper divisors (146650701696).

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

74632635264 is a wasteful number, since it uses less digits than its factorization.

74632635264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2017 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 48.

The spelling of 74632635264 in words is "seventy-four billion, six hundred thirty-two million, six hundred thirty-five thousand, two hundred sixty-four".