7172663040 has 432 divisors, whose sum is σ = 25799286240. Its totient is φ = 1838776320.

The previous prime is 7172663021. The next prime is 7172663051. The reversal of 7172663040 is 403662717.

7172663040 is a `hidden beast` number, since 7 + 17 + 2 + 6 + 630 + 4 + 0 = 666.

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 = 7172662986 and 7172663004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41460394 + ... + 41460566.

It is an arithmetic number, because the mean of its divisors is an integer number (59720570).

Almost surely, 2^7172663040 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 7172663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899643120).

7172663040 is an abundant number, since it is smaller than the sum of its proper divisors (18626623200).

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

7172663040 is a wasteful number, since it uses less digits than its factorization.

7172663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7172663040 is about 84691.5759683335. The cubic root of 7172663040 is about 1928.5318230079.

The spelling of 7172663040 in words is "seven billion, one hundred seventy-two million, six hundred sixty-three thousand, forty".