77245657316352 has 2112 divisors, whose sum is σ = 281043979223040. Its totient is φ = 20877140164608.

The previous prime is 77245657316341. The next prime is 77245657316413. The reversal of 77245657316352 is 25361375654277.

77245657316352 is a `hidden beast` number, since 7 + 7 + 2 + 4 + 5 + 6 + 573 + 1 + 6 + 3 + 52 = 666.

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

Its product of digits (222264000) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 77245657316352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 392109935518 + ... + 392109935714.

It is an arithmetic number, because the mean of its divisors is an integer number (133070065920).

Almost surely, 2^{77245657316352} is an apocalyptic number.

77245657316352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77245657316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140521989611520).

77245657316352 is an abundant number, since it is smaller than the sum of its proper divisors (203798321906688).

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

77245657316352 is a wasteful number, since it uses less digits than its factorization.

77245657316352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 432 counting only the distinct ones).

The product of its digits is 222264000, while the sum is 63.

The spelling of 77245657316352 in words is "seventy-seven trillion, two hundred forty-five billion, six hundred fifty-seven million, three hundred sixteen thousand, three hundred fifty-two".