76948684670400 has 168 divisors, whose sum is σ = 253915094499504. Its totient is φ = 20401038336000.

The previous prime is 76948684670339. The next prime is 76948684670437. The reversal of 76948684670400 is 407648684967.

It is a super-2 number, since 2×76948684670400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45501901 + ... + 47162700.

Almost surely, 2^{76948684670400} is an apocalyptic number.

It is an amenable number.

76948684670400 is an abundant number, since it is smaller than the sum of its proper divisors (176966409829104).

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

76948684670400 is a wasteful number, since it uses less digits than its factorization.

76948684670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92664799 (or 92664784 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 76948684670400 in words is "seventy-six trillion, nine hundred forty-eight billion, six hundred eighty-four million, six hundred seventy thousand, four hundred".