75466073088 has 352 divisors, whose sum is σ = 257234208000. Its totient is φ = 21408841728.

The previous prime is 75466073087. The next prime is 75466073093. The reversal of 75466073088 is 88037066457.

75466073088 is a `hidden beast` number, since 7 + 546 + 60 + 7 + 30 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (75466073083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28835556 + ... + 28838172.

It is an arithmetic number, because the mean of its divisors is an integer number (730779000).

Almost surely, 2^75466073088 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 75466073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128617104000).

75466073088 is an abundant number, since it is smaller than the sum of its proper divisors (181768134912).

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

75466073088 is a wasteful number, since it uses less digits than its factorization.

75466073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 75466073088 in words is "seventy-five billion, four hundred sixty-six million, seventy-three thousand, eighty-eight".