76140027295920 has 960 divisors, whose sum is σ = 321348282393600. Its totient is φ = 16476505436160.

The previous prime is 76140027295909. The next prime is 76140027295949. The reversal of 76140027295920 is 2959272004167.

76140027295920 is a `hidden beast` number, since 7 + 6 + 1 + 4 + 0 + 0 + 27 + 29 + 592 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3231600940 + ... + 3231624500.

It is an arithmetic number, because the mean of its divisors is an integer number (334737794160).

Almost surely, 2^{76140027295920} is an apocalyptic number.

76140027295920 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 76140027295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160674141196800).

76140027295920 is an abundant number, since it is smaller than the sum of its proper divisors (245208255097680).

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

76140027295920 is a wasteful number, since it uses less digits than its factorization.

76140027295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25223 (or 25204 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 76140027295920 in words is "seventy-six trillion, one hundred forty billion, twenty-seven million, two hundred ninety-five thousand, nine hundred twenty".