76415016384 has 392 divisors, whose sum is σ = 263052397440. Its totient is φ = 21562163712.

The previous prime is 76415016383. The next prime is 76415016409. The reversal of 76415016384 is 48361051467.

76415016384 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 5 + 0 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×76415016384³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76415016383) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27105727 + ... + 27108545.

Almost surely, 2^76415016384 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 76415016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131526198720).

76415016384 is an abundant number, since it is smaller than the sum of its proper divisors (186637381056).

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

76415016384 is an equidigital number, since it uses as much as digits as its factorization.

76415016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 76415016384 in words is "seventy-six billion, four hundred fifteen million, sixteen thousand, three hundred eighty-four".