77640559395840 has 1848 divisors, whose sum is σ = 341944032548160. Its totient is φ = 16811639341056.

The previous prime is 77640559395757. The next prime is 77640559395857. The reversal of 77640559395840 is 4859395504677.

77640559395840 is a `hidden beast` number, since 7 + 7 + 6 + 4 + 0 + 5 + 5 + 9 + 39 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 3474927709 + ... + 3474950051.

Almost surely, 2^{77640559395840} is an apocalyptic number.

77640559395840 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 77640559395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170972016274080).

77640559395840 is an abundant number, since it is smaller than the sum of its proper divisors (264303473152320).

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

77640559395840 is a wasteful number, since it uses less digits than its factorization.

77640559395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22419 (or 22379 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 77640559395840 in words is "seventy-seven trillion, six hundred forty billion, five hundred fifty-nine million, three hundred ninety-five thousand, eight hundred forty".