7146752004 has 144 divisors (see below), whose sum is σ = 21591268608. Its totient is φ = 1948852224.

The previous prime is 7146751987. The next prime is 7146752051. The reversal of 7146752004 is 4002576417.

7146752004 is a `hidden beast` number, since 71 + 4 + 67 + 520 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7146752004.

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, 3343224 + ... + 3345360.

Almost surely, 2^7146752004 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 7146752004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795634304).

7146752004 is an abundant number, since it is smaller than the sum of its proper divisors (14444516604).

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

7146752004 is a wasteful number, since it uses less digits than its factorization.

7146752004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7146752004 is about 84538.4646418422. The cubic root of 7146752004 is about 1926.2067660382.

The spelling of 7146752004 in words is "seven billion, one hundred forty-six million, seven hundred fifty-two thousand, four".