7140245904 has 560 divisors, whose sum is σ = 24883675200. Its totient is φ = 1959552000.

The previous prime is 7140245881. The next prime is 7140245929. The reversal of 7140245904 is 4095420417.

It is a happy number.

7140245904 is a `hidden beast` number, since 7 + 1 + 40 + 24 + 590 + 4 = 666.

It is a super-2 number, since 2×7140245904² (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 70695454 + ... + 70695554.

Almost surely, 2^7140245904 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 7140245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441837600).

7140245904 is an abundant number, since it is smaller than the sum of its proper divisors (17743429296).

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

7140245904 is a wasteful number, since it uses less digits than its factorization.

7140245904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7140245904 is about 84499.9757633101. The cubic root of 7140245904 is about 1925.6220762540.

The spelling of 7140245904 in words is "seven billion, one hundred forty million, two hundred forty-five thousand, nine hundred four".