74766342301056 has 3072 divisors, whose sum is σ = 286705623859200. Its totient is φ = 18922061168640.

The previous prime is 74766342301043. The next prime is 74766342301099. The reversal of 74766342301056 is 65010324366747.

74766342301056 is a `hidden beast` number, since 7 + 476 + 6 + 34 + 2 + 30 + 105 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 74766342300993 and 74766342301011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 661649046856 + ... + 661649046968.

It is an arithmetic number, because the mean of its divisors is an integer number (93328653600).

Almost surely, 2^{74766342301056} is an apocalyptic number.

74766342301056 is a gapful number since it is divisible by the number (76) 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 74766342301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143352811929600).

74766342301056 is an abundant number, since it is smaller than the sum of its proper divisors (211939281558144).

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

74766342301056 is a wasteful number, since it uses less digits than its factorization.

74766342301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 74766342301056 in words is "seventy-four trillion, seven hundred sixty-six billion, three hundred forty-two million, three hundred one thousand, fifty-six".