74978915506560 has 768 divisors, whose sum is σ = 288037241856000. Its totient is φ = 17847644405760.

The previous prime is 74978915506559. The next prime is 74978915506567. The reversal of 74978915506560 is 6560551987947.

74978915506560 is a `hidden beast` number, since 7 + 4 + 9 + 7 + 8 + 9 + 1 + 5 + 50 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74978915506567) 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, 3303170091 + ... + 3303192789.

It is an arithmetic number, because the mean of its divisors is an integer number (375048492000).

Almost surely, 2^{74978915506560} 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 74978915506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018620928000).

74978915506560 is an abundant number, since it is smaller than the sum of its proper divisors (213058326349440).

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

74978915506560 is a wasteful number, since it uses less digits than its factorization.

74978915506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24191 (or 24176 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 74978915506560 in words is "seventy-four trillion, nine hundred seventy-eight billion, nine hundred fifteen million, five hundred six thousand, five hundred sixty".