7472658240 has 392 divisors, whose sum is σ = 27024835968. Its totient is φ = 1967016960.

The previous prime is 7472658239. The next prime is 7472658289. The reversal of 7472658240 is 428562747.

It is a happy number.

7472658240 is a `hidden beast` number, since 7 + 4 + 7 + 26 + 582 + 40 = 666.

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 55 ways as a sum of consecutive naturals, for example, 24027685 + ... + 24027995.

Almost surely, 2^7472658240 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 7472658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512417984).

7472658240 is an abundant number, since it is smaller than the sum of its proper divisors (19552177728).

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

7472658240 is a wasteful number, since it uses less digits than its factorization.

7472658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7472658240 is about 86444.5385203715. The cubic root of 7472658240 is about 1955.0522715031.

The spelling of 7472658240 in words is "seven billion, four hundred seventy-two million, six hundred fifty-eight thousand, two hundred forty".