7534007640 has 320 divisors, whose sum is σ = 27444368160. Its totient is φ = 1846333440.

The previous prime is 7534007639. The next prime is 7534007651. The reversal of 7534007640 is 467004357.

7534007640 is a `hidden beast` number, since 7 + 5 + 3 + 4 + 0 + 0 + 7 + 640 = 666.

It is a super-2 number, since 2×7534007640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7534007595 and 7534007604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2366850 + ... + 2370030.

Almost surely, 2^7534007640 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 7534007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722184080).

7534007640 is an abundant number, since it is smaller than the sum of its proper divisors (19910360520).

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

7534007640 is a wasteful number, since it uses less digits than its factorization.

7534007640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7534007640 is about 86798.6615104173. The cubic root of 7534007640 is about 1960.3879247437.

The spelling of 7534007640 in words is "seven billion, five hundred thirty-four million, seven thousand, six hundred forty".