760013615340 has 240 divisors, whose sum is σ = 2738915522112. Its totient is φ = 172816809984.

The previous prime is 760013615323. The next prime is 760013615377. The reversal of 760013615340 is 43516310067.

760013615340 is a `hidden beast` number, since 7 + 6 + 0 + 0 + 1 + 3 + 615 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 760013615295 and 760013615304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2014992 + ... + 2362248.

Almost surely, 2^760013615340 is an apocalyptic number.

760013615340 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 760013615340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369457761056).

760013615340 is an abundant number, since it is smaller than the sum of its proper divisors (1978901906772).

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

760013615340 is a wasteful number, since it uses less digits than its factorization.

760013615340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347478 (or 347467 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 760013615340 in words is "seven hundred sixty billion, thirteen million, six hundred fifteen thousand, three hundred forty".