77268716640 has 192 divisors, whose sum is σ = 284674521600. Its totient is φ = 19520497152.

The previous prime is 77268716627. The next prime is 77268716671. The reversal of 77268716640 is 4661786277.

It is a super-2 number, since 2×77268716640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388612 + ... + 552771.

It is an arithmetic number, because the mean of its divisors is an integer number (1482679800).

Almost surely, 2^77268716640 is an apocalyptic number.

It is an amenable number.

77268716640 is an abundant number, since it is smaller than the sum of its proper divisors (207405804960).

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

77268716640 is a wasteful number, since it uses less digits than its factorization.

77268716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941426 (or 941412 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 77268716640 in words is "seventy-seven billion, two hundred sixty-eight million, seven hundred sixteen thousand, six hundred forty".