7213687580160 has 1280 divisors, whose sum is σ = 27135577497600. Its totient is φ = 1836738478080.

The previous prime is 7213687580119. The next prime is 7213687580227. The reversal of 7213687580160 is 610857863127.

It is a happy number.

7213687580160 is a `hidden beast` number, since 7 + 21 + 36 + 8 + 7 + 580 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 7213687580097 and 7213687580106.

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, 15446868247 + ... + 15446868713.

It is an arithmetic number, because the mean of its divisors is an integer number (21199669920).

Almost surely, 2^{7213687580160} 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 7213687580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567788748800).

7213687580160 is an abundant number, since it is smaller than the sum of its proper divisors (19921889917440).

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

7213687580160 is an frugal number, since it uses more digits than its factorization.

7213687580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7213687580160 in words is "seven trillion, two hundred thirteen billion, six hundred eighty-seven million, five hundred eighty thousand, one hundred sixty".