75837425664 has 1152 divisors, whose sum is σ = 292795776000. Its totient is φ = 16933847040.

The previous prime is 75837425659. The next prime is 75837425681. The reversal of 75837425664 is 46652473857.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285380067 + ... + 1285380125.

It is an arithmetic number, because the mean of its divisors is an integer number (254163000).

Almost surely, 2^75837425664 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 75837425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888000).

75837425664 is an abundant number, since it is smaller than the sum of its proper divisors (216958350336).

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

75837425664 is a wasteful number, since it uses less digits than its factorization.

75837425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 57.

It can be divided in two parts, 75837 and 425664, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 75837425664 in words is "seventy-five billion, eight hundred thirty-seven million, four hundred twenty-five thousand, six hundred sixty-four".