77983152474240 has 384 divisors, whose sum is σ = 290158741716480. Its totient is φ = 19185335377920.

The previous prime is 77983152474151. The next prime is 77983152474263. The reversal of 77983152474240 is 4247425138977.

It is a happy number.

77983152474240 is a `hidden beast` number, since 7 + 7 + 9 + 8 + 3 + 152 + 474 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 136820889 + ... + 137389671.

It is an arithmetic number, because the mean of its divisors is an integer number (755621723220).

Almost surely, 2^{77983152474240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77983152474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145079370858240).

77983152474240 is an abundant number, since it is smaller than the sum of its proper divisors (212175589242240).

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

77983152474240 is a wasteful number, since it uses less digits than its factorization.

77983152474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570652 (or 570637 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 77983152474240 in words is "seventy-seven trillion, nine hundred eighty-three billion, one hundred fifty-two million, four hundred seventy-four thousand, two hundred forty".