7498736640 has 264 divisors, whose sum is σ = 26113054968. Its totient is φ = 1989672960.

The previous prime is 7498736579. The next prime is 7498736671. The reversal of 7498736640 is 466378947.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 247873536 + 7250863104 = 15744^2 + 85152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16266010 + ... + 16266470.

It is an arithmetic number, because the mean of its divisors is an integer number (98913087).

Almost surely, 2^7498736640 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 7498736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056527484).

7498736640 is an abundant number, since it is smaller than the sum of its proper divisors (18614318328).

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

7498736640 is a wasteful number, since it uses less digits than its factorization.

7498736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7498736640 is about 86595.2460588917. The cubic root of 7498736640 is about 1957.3239058085.

The spelling of 7498736640 in words is "seven billion, four hundred ninety-eight million, seven hundred thirty-six thousand, six hundred forty".