1579647438720 has 384 divisors, whose sum is σ = 6183493898400. Its totient is φ = 368370892800.

The previous prime is 1579647438679. The next prime is 1579647438769. The reversal of 1579647438720 is 278347469751.

1579647438720 is a `hidden beast` number, since 1 + 5 + 7 + 96 + 47 + 438 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867570 + ... + 1977870.

It is a 1-persistent number, because it is pandigital, but 2⋅1579647438720 = 3159294877440 is not.

Almost surely, 2^{1579647438720} is an apocalyptic number.

1579647438720 is a gapful number since it is divisible by the number (10) 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 1579647438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091746949200).

1579647438720 is an abundant number, since it is smaller than the sum of its proper divisors (4603846459680).

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

1579647438720 is a wasteful number, since it uses less digits than its factorization.

1579647438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110358 (or 1110343 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 1579647438720 in words is "one trillion, five hundred seventy-nine billion, six hundred forty-seven million, four hundred thirty-eight thousand, seven hundred twenty".