7460410624 has 72 divisors (see below), whose sum is σ = 15073645608. Its totient is φ = 3684925440.

The previous prime is 7460410619. The next prime is 7460410637. The reversal of 7460410624 is 4260140647.

It can be written as a sum of positive squares in 4 ways, for example, as 2281017600 + 5179393024 = 47760^2 + 71968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7460410624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9854854 + ... + 9855610.

It is an arithmetic number, because the mean of its divisors is an integer number (209356189).

Almost surely, 2^7460410624 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 7460410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536822804).

7460410624 is an abundant number, since it is smaller than the sum of its proper divisors (7613234984).

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

7460410624 is a wasteful number, since it uses less digits than its factorization.

7460410624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 7460410624 is about 86373.6685801871. The cubic root of 7460410624 is about 1953.9835833886.

The spelling of 7460410624 in words is "seven billion, four hundred sixty million, four hundred ten thousand, six hundred twenty-four".