764008415118 has 96 divisors (see below), whose sum is σ = 1821327161472. Its totient is φ = 229987929600.

The previous prime is 764008415101. The next prime is 764008415119. The reversal of 764008415118 is 811514800467.

764008415118 is a `hidden beast` number, since 7 + 6 + 400 + 84 + 151 + 18 = 666.

It is a super-2 number, since 2×764008415118² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764008415119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31453138 + ... + 31477418.

It is an arithmetic number, because the mean of its divisors is an integer number (18972157932).

Almost surely, 2^764008415118 is an apocalyptic number.

764008415118 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 764008415118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910663580736).

764008415118 is an abundant number, since it is smaller than the sum of its proper divisors (1057318746354).

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

764008415118 is a wasteful number, since it uses less digits than its factorization.

764008415118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27210 (or 27207 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 764008415118 in words is "seven hundred sixty-four billion, eight million, four hundred fifteen thousand, one hundred eighteen".