1613670720480 has 1536 divisors, whose sum is σ = 7468070400000. Its totient is φ = 322474328064.

The previous prime is 1613670720439. The next prime is 1613670720511. The reversal of 1613670720480 is 840270763161.

1613670720480 is a `hidden beast` number, since 1 + 6 + 1 + 36 + 70 + 72 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 365992516 + ... + 365996924.

It is an arithmetic number, because the mean of its divisors is an integer number (4862025000).

Almost surely, 2^{1613670720480} is an apocalyptic number.

1613670720480 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 1613670720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734035200000).

1613670720480 is an abundant number, since it is smaller than the sum of its proper divisors (5854399679520).

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

1613670720480 is a wasteful number, since it uses less digits than its factorization.

1613670720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1613670720480 in words is "one trillion, six hundred thirteen billion, six hundred seventy million, seven hundred twenty thousand, four hundred eighty".