77472334189152 has 144 divisors (see below), whose sum is σ = 251788237882272. Its totient is φ = 22134675548160.

The previous prime is 77472334189139. The next prime is 77472334189193. The reversal of 77472334189152 is 25198143327477.

77472334189152 is a `hidden beast` number, since 7 + 7 + 4 + 72 + 334 + 1 + 89 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 77472334189152.

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, 203750638 + ... + 204130514.

It is an arithmetic number, because the mean of its divisors is an integer number (1748529429738).

Almost surely, 2^{77472334189152} is an apocalyptic number.

77472334189152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77472334189152 is an abundant number, since it is smaller than the sum of its proper divisors (174315903693120).

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

77472334189152 is a wasteful number, since it uses less digits than its factorization.

77472334189152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481061 (or 481050 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 77472334189152 in words is "seventy-seven trillion, four hundred seventy-two billion, three hundred thirty-four million, one hundred eighty-nine thousand, one hundred fifty-two".