75632873696640 has 640 divisors, whose sum is σ = 291079425067200. Its totient is φ = 18604268863488.

The previous prime is 75632873696617. The next prime is 75632873696663. The reversal of 75632873696640 is 4669637823657.

75632873696640 is a `hidden beast` number, since 7 + 563 + 28 + 7 + 36 + 9 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75632873696617) and next prime (75632873696663).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×75632873696640² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 979167141 + ... + 979244379.

Almost surely, 2^{75632873696640} 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 75632873696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145539712533600).

75632873696640 is an abundant number, since it is smaller than the sum of its proper divisors (215446551370560).

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

75632873696640 is a wasteful number, since it uses less digits than its factorization.

75632873696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78736 (or 78715 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 75632873696640 in words is "seventy-five trillion, six hundred thirty-two billion, eight hundred seventy-three million, six hundred ninety-six thousand, six hundred forty".