7513007040 has 896 divisors, whose sum is σ = 34551152640. Its totient is φ = 1490227200.

The previous prime is 7513007027. The next prime is 7513007053. The reversal of 7513007040 is 407003157.

It is an interprime number because it is at equal distance from previous prime (7513007027) and next prime (7513007053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7513006995 and 7513007013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15301195 + ... + 15301685.

Almost surely, 2^7513007040 is an apocalyptic number.

7513007040 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 7513007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275576320).

7513007040 is an abundant number, since it is smaller than the sum of its proper divisors (27038145600).

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

7513007040 is a wasteful number, since it uses less digits than its factorization.

7513007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 7513007040 is about 86677.6040277995. The cubic root of 7513007040 is about 1958.5647412838.

The spelling of 7513007040 in words is "seven billion, five hundred thirteen million, seven thousand, forty".