76640853196800 has 1152 divisors, whose sum is σ = 285682457860800. Its totient is φ = 20367755182080.

The previous prime is 76640853196793. The next prime is 76640853196829. The reversal of 76640853196800 is 869135804667.

76640853196800 is a `hidden beast` number, since 7 + 6 + 6 + 4 + 0 + 8 + 531 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87389797962 + ... + 87389798838.

Almost surely, 2^{76640853196800} 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 76640853196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142841228930400).

76640853196800 is an abundant number, since it is smaller than the sum of its proper divisors (209041604664000).

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

76640853196800 is an frugal number, since it uses more digits than its factorization.

76640853196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 76640853196800 in words is "seventy-six trillion, six hundred forty billion, eight hundred fifty-three million, one hundred ninety-six thousand, eight hundred".