77972649552 has 60 divisors (see below), whose sum is σ = 249388715680. Its totient is φ = 22277899584.

The previous prime is 77972649523. The next prime is 77972649553. The reversal of 77972649552 is 25594627977.

77972649552 is a `hidden beast` number, since 7 + 7 + 9 + 72 + 6 + 4 + 9 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 77972649552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77972649553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38675902 + ... + 38677917.

Almost surely, 2^77972649552 is an apocalyptic number.

77972649552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77972649552 is an abundant number, since it is smaller than the sum of its proper divisors (171416066128).

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

77972649552 is a wasteful number, since it uses less digits than its factorization.

77972649552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77353840 (or 77353831 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 77972649552 in words is "seventy-seven billion, nine hundred seventy-two million, six hundred forty-nine thousand, five hundred fifty-two".