7650973440 has 432 divisors, whose sum is σ = 29128226400. Its totient is φ = 1838776320.

The previous prime is 7650973423. The next prime is 7650973481. The reversal of 7650973440 is 443790567.

7650973440 is a `hidden beast` number, since 76 + 50 + 97 + 3 + 440 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21922386 + ... + 21922734.

It is an arithmetic number, because the mean of its divisors is an integer number (67426450).

Almost surely, 2^7650973440 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 7650973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564113200).

7650973440 is an abundant number, since it is smaller than the sum of its proper divisors (21477252960).

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

7650973440 is a wasteful number, since it uses less digits than its factorization.

7650973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7650973440 is about 87469.8430317558. The cubic root of 7650973440 is about 1970.4809084719.

The spelling of 7650973440 in words is "seven billion, six hundred fifty million, nine hundred seventy-three thousand, four hundred forty".