7046004672 has 336 divisors, whose sum is σ = 24364005120. Its totient is φ = 1977219072.

The previous prime is 7046004643. The next prime is 7046004697. The reversal of 7046004672 is 2764006407.

7046004672 is a `hidden beast` number, since 7 + 0 + 4 + 600 + 46 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 6422428 + ... + 6423524.

It is an arithmetic number, because the mean of its divisors is an integer number (72511920).

Almost surely, 2^7046004672 is an apocalyptic number.

7046004672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7046004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182002560).

7046004672 is an abundant number, since it is smaller than the sum of its proper divisors (17318000448).

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

7046004672 is a wasteful number, since it uses less digits than its factorization.

7046004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7046004672 is about 83940.4829149797. The cubic root of 7046004672 is about 1917.1126914731.

The spelling of 7046004672 in words is "seven billion, forty-six million, four thousand, six hundred seventy-two".