76491786240 has 240 divisors, whose sum is σ = 274173239340. Its totient is φ = 20397588480.

The previous prime is 76491786233. The next prime is 76491786277. The reversal of 76491786240 is 4268719467.

76491786240 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 1 + 7 + 8 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74699449344 + 1792336896 = 273312^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 783330 + ... + 875550.

Almost surely, 2^76491786240 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 76491786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137086619670).

76491786240 is an abundant number, since it is smaller than the sum of its proper divisors (197681453100).

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

76491786240 is an equidigital number, since it uses as much as digits as its factorization.

76491786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92260 (or 92231 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 76491786240 in words is "seventy-six billion, four hundred ninety-one million, seven hundred eighty-six thousand, two hundred forty".