7459125632 has 128 divisors (see below), whose sum is σ = 18062714880. Its totient is φ = 2995200000.

The previous prime is 7459125623. The next prime is 7459125637. The reversal of 7459125632 is 2365219547.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7459125637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822257 + ... + 3824207.

It is an arithmetic number, because the mean of its divisors is an integer number (141114960).

Almost surely, 2^7459125632 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 7459125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031357440).

7459125632 is an abundant number, since it is smaller than the sum of its proper divisors (10603589248).

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

7459125632 is a wasteful number, since it uses less digits than its factorization.

7459125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2228 counting only the distinct ones).

The product of its digits is 453600, while the sum is 44.

The square root of 7459125632 is about 86366.2296965660. The cubic root of 7459125632 is about 1953.8713912868.

The spelling of 7459125632 in words is "seven billion, four hundred fifty-nine million, one hundred twenty-five thousand, six hundred thirty-two".