7079132928000 has 1536 divisors, whose sum is σ = 29495699251200. Its totient is φ = 1469841408000.

The previous prime is 7079132927987. The next prime is 7079132928031. The reversal of 7079132928000 is 8292319707.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×7079132928000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2650366665 + ... + 2650369335.

It is an arithmetic number, because the mean of its divisors is an integer number (19202929200).

Almost surely, 2^{7079132928000} is an apocalyptic number.

7079132928000 is a gapful number since it is divisible by the number (70) 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 7079132928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747849625600).

7079132928000 is an abundant number, since it is smaller than the sum of its proper divisors (22416566323200).

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

7079132928000 is a wasteful number, since it uses less digits than its factorization.

7079132928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 7079132928000 in words is "seven trillion, seventy-nine billion, one hundred thirty-two million, nine hundred twenty-eight thousand".