75504166972416 has 3696 divisors, whose sum is σ = 305521422564960. Its totient is φ = 18420415856640.

The previous prime is 75504166972393. The next prime is 75504166972517. The reversal of 75504166972416 is 61427966140557.

75504166972416 is a `hidden beast` number, since 7 + 5 + 50 + 4 + 166 + 9 + 7 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 551125306300 + ... + 551125306436.

Almost surely, 2^{75504166972416} is an apocalyptic number.

75504166972416 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 75504166972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152760711282480).

75504166972416 is an abundant number, since it is smaller than the sum of its proper divisors (230017255592544).

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

75504166972416 is a wasteful number, since it uses less digits than its factorization.

75504166972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 75504166972416 in words is "seventy-five trillion, five hundred four billion, one hundred sixty-six million, nine hundred seventy-two thousand, four hundred sixteen".