76155421440 has 576 divisors, whose sum is σ = 291981312000. Its totient is φ = 16539697152.

The previous prime is 76155421409. The next prime is 76155421451. The reversal of 76155421440 is 4412455167.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123029451 + ... + 123030069.

It is an arithmetic number, because the mean of its divisors is an integer number (506912000).

Almost surely, 2^76155421440 is an apocalyptic number.

76155421440 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 76155421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990656000).

76155421440 is an abundant number, since it is smaller than the sum of its proper divisors (215825890560).

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

76155421440 is a wasteful number, since it uses less digits than its factorization.

76155421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 76155421440 in words is "seventy-six billion, one hundred fifty-five million, four hundred twenty-one thousand, four hundred forty".