760427055360 has 864 divisors, whose sum is σ = 3053441664000. Its totient is φ = 171144658944.

The previous prime is 760427055319. The next prime is 760427055379. The reversal of 760427055360 is 63550724067.

760427055360 is a `hidden beast` number, since 7 + 6 + 0 + 42 + 70 + 5 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2006403651 + ... + 2006404029.

It is an arithmetic number, because the mean of its divisors is an integer number (3534076000).

Almost surely, 2^760427055360 is an apocalyptic number.

760427055360 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 760427055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526720832000).

760427055360 is an abundant number, since it is smaller than the sum of its proper divisors (2293014608640).

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

760427055360 is a wasteful number, since it uses less digits than its factorization.

760427055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 760427055360 in words is "seven hundred sixty billion, four hundred twenty-seven million, fifty-five thousand, three hundred sixty".