76546208640 has 512 divisors, whose sum is σ = 271839628800. Its totient is φ = 18166579200.

The previous prime is 76546208603. The next prime is 76546208663. The reversal of 76546208640 is 4680264567.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76546208640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362778135 + ... + 362778345.

It is an arithmetic number, because the mean of its divisors is an integer number (530936775).

Almost surely, 2^76546208640 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 76546208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135919814400).

76546208640 is an abundant number, since it is smaller than the sum of its proper divisors (195293420160).

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

76546208640 is a wasteful number, since it uses less digits than its factorization.

76546208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 76546208640 in words is "seventy-six billion, five hundred forty-six million, two hundred eight thousand, six hundred forty".