74636052480 has 1152 divisors, whose sum is σ = 307435564800. Its totient is φ = 17128488960.

The previous prime is 74636052479. The next prime is 74636052481. The reversal of 74636052480 is 8425063647.

74636052480 is a `hidden beast` number, since 7 + 4 + 63 + 60 + 52 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (74636052479) and next prime (74636052481).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74636052481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769443792 + ... + 769443888.

It is an arithmetic number, because the mean of its divisors is an integer number (266871150).

Almost surely, 2^74636052480 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 74636052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153717782400).

74636052480 is an abundant number, since it is smaller than the sum of its proper divisors (232799512320).

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

74636052480 is a wasteful number, since it uses less digits than its factorization.

74636052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 74636052480 in words is "seventy-four billion, six hundred thirty-six million, fifty-two thousand, four hundred eighty".