77639143680 has 1296 divisors, whose sum is σ = 340911728640. Its totient is φ = 16679706624.

The previous prime is 77639143639. The next prime is 77639143711. The reversal of 77639143680 is 8634193677.

77639143680 is a `hidden beast` number, since 77 + 63 + 9 + 1 + 436 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 611331777 + ... + 611331903.

Almost surely, 2^77639143680 is an apocalyptic number.

77639143680 is a gapful number since it is divisible by the number (70) 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 77639143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170455864320).

77639143680 is an abundant number, since it is smaller than the sum of its proper divisors (263272584960).

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

77639143680 is a wasteful number, since it uses less digits than its factorization.

77639143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 77639143680 in words is "seventy-seven billion, six hundred thirty-nine million, one hundred forty-three thousand, six hundred eighty".