7253591040 has 352 divisors, whose sum is σ = 26033909760. Its totient is φ = 1915158528.

The previous prime is 7253590997. The next prime is 7253591057. The reversal of 7253591040 is 401953527.

7253591040 is a `hidden beast` number, since 7 + 25 + 3 + 591 + 0 + 40 = 666.

It is a super-2 number, since 2×7253591040² (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 = 7253590986 and 7253591004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18938689 + ... + 18939071.

Almost surely, 2^7253591040 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 7253591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016954880).

7253591040 is an abundant number, since it is smaller than the sum of its proper divisors (18780318720).

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

7253591040 is a wasteful number, since it uses less digits than its factorization.

7253591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7253591040 is about 85168.0165320292. The cubic root of 7253591040 is about 1935.7578186689.

The spelling of 7253591040 in words is "seven billion, two hundred fifty-three million, five hundred ninety-one thousand, forty".