1613674267920 has 480 divisors, whose sum is σ = 6741196285824. Its totient is φ = 339860275200.

The previous prime is 1613674267831. The next prime is 1613674267927. The reversal of 1613674267920 is 297624763161.

1613674267920 is a `hidden beast` number, since 16 + 1 + 367 + 4 + 267 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1613674267920² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1613674267927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1289355 + ... + 2211285.

Almost surely, 2^{1613674267920} is an apocalyptic number.

1613674267920 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 1613674267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370598142912).

1613674267920 is an abundant number, since it is smaller than the sum of its proper divisors (5127522017904).

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

1613674267920 is a wasteful number, since it uses less digits than its factorization.

1613674267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921991 (or 921982 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1613674267920 in words is "one trillion, six hundred thirteen billion, six hundred seventy-four million, two hundred sixty-seven thousand, nine hundred twenty".