7090683714072 has 1920 divisors, whose sum is σ = 26825154048000. Its totient is φ = 1705437296640.

The previous prime is 7090683714067. The next prime is 7090683714109. The reversal of 7090683714072 is 2704173860907.

7090683714072 is a `hidden beast` number, since 7 + 0 + 90 + 6 + 83 + 71 + 407 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40986610978 + ... + 40986611150.

It is an arithmetic number, because the mean of its divisors is an integer number (13971434400).

Almost surely, 2^{7090683714072} is an apocalyptic number.

7090683714072 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 7090683714072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412577024000).

7090683714072 is an abundant number, since it is smaller than the sum of its proper divisors (19734470333928).

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

7090683714072 is a wasteful number, since it uses less digits than its factorization.

7090683714072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 7090683714072 in words is "seven trillion, ninety billion, six hundred eighty-three million, seven hundred fourteen thousand, seventy-two".