4715667013680 has 600 divisors, whose sum is σ = 20054976868080. Its totient is φ = 1021135610880.

The previous prime is 4715667013663. The next prime is 4715667013693. The reversal of 4715667013680 is 863107665174.

4715667013680 is a `hidden beast` number, since 4 + 7 + 1 + 566 + 7 + 0 + 13 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5642050 + ... + 6423710.

Almost surely, 2^{4715667013680} is an apocalyptic number.

4715667013680 is a gapful number since it is divisible by the number (40) 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 4715667013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027488434040).

4715667013680 is an abundant number, since it is smaller than the sum of its proper divisors (15339309854400).

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

4715667013680 is a wasteful number, since it uses less digits than its factorization.

4715667013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781719 (or 781697 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4715667013680 in words is "four trillion, seven hundred fifteen billion, six hundred sixty-seven million, thirteen thousand, six hundred eighty".