7460865720 has 512 divisors, whose sum is σ = 31456512000. Its totient is φ = 1527828480.

The previous prime is 7460865707. The next prime is 7460865743. The reversal of 7460865720 is 275680647.

7460865720 is a `hidden beast` number, since 74 + 6 + 0 + 8 + 6 + 572 + 0 = 666.

It is a super-2 number, since 2×7460865720² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6070066 + ... + 6071294.

It is an arithmetic number, because the mean of its divisors is an integer number (61438500).

Almost surely, 2^7460865720 is an apocalyptic number.

7460865720 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 7460865720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728256000).

7460865720 is an abundant number, since it is smaller than the sum of its proper divisors (23995646280).

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

7460865720 is a wasteful number, since it uses less digits than its factorization.

7460865720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 7460865720 is about 86376.3030003021. The cubic root of 7460865720 is about 1954.0233145364.

The spelling of 7460865720 in words is "seven billion, four hundred sixty million, eight hundred sixty-five thousand, seven hundred twenty".