77634795360672 has 240 divisors, whose sum is σ = 262187687916000. Its totient is φ = 22287500904960.

The previous prime is 77634795360611. The next prime is 77634795360721. The reversal of 77634795360672 is 27606359743677.

77634795360672 is a `hidden beast` number, since 7 + 7 + 6 + 3 + 4 + 7 + 9 + 5 + 3 + 606 + 7 + 2 = 666.

It is a super-2 number, since 2×77634795360672² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77634795360672.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71113047 + ... + 72196502.

It is an arithmetic number, because the mean of its divisors is an integer number (1092448699650).

Almost surely, 2^{77634795360672} is an apocalyptic number.

77634795360672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77634795360672 is an abundant number, since it is smaller than the sum of its proper divisors (184552892555328).

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

77634795360672 is a wasteful number, since it uses less digits than its factorization.

77634795360672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143309601 (or 143309584 counting only the distinct ones).

The product of its (nonzero) digits is 1680315840, while the sum is 72.

The spelling of 77634795360672 in words is "seventy-seven trillion, six hundred thirty-four billion, seven hundred ninety-five million, three hundred sixty thousand, six hundred seventy-two".