77039724672 has 192 divisors, whose sum is σ = 235251176160. Its totient is φ = 25082265600.

The previous prime is 77039724667. The next prime is 77039724673. The reversal of 77039724672 is 27642793077.

77039724672 is a `hidden beast` number, since 7 + 7 + 0 + 397 + 246 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (77039724673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308672 + ... + 1366272.

Almost surely, 2^77039724672 is an apocalyptic number.

77039724672 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 77039724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117625588080).

77039724672 is an abundant number, since it is smaller than the sum of its proper divisors (158211451488).

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

77039724672 is an equidigital number, since it uses as much as digits as its factorization.

77039724672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57673 (or 57649 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 77039724672 in words is "seventy-seven billion, thirty-nine million, seven hundred twenty-four thousand, six hundred seventy-two".