5617467313920 has 3888 divisors, whose sum is σ = 27489808146528. Its totient is φ = 1083553873920.

The previous prime is 5617467313919. The next prime is 5617467313943. The reversal of 5617467313920 is 293137647165.

5617467313920 is a `hidden beast` number, since 5 + 61 + 7 + 467 + 31 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 76951607004 + ... + 76951607076.

It is an arithmetic number, because the mean of its divisors is an integer number (7070423906).

Almost surely, 2^{5617467313920} 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 5617467313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13744904073264).

5617467313920 is an abundant number, since it is smaller than the sum of its proper divisors (21872340832608).

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

5617467313920 is an equidigital number, since it uses as much as digits as its factorization.

5617467313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 5617467313920 in words is "five trillion, six hundred seventeen billion, four hundred sixty-seven million, three hundred thirteen thousand, nine hundred twenty".