613721470026672 has 180 divisors, whose sum is σ = 1998803506486176. Its totient is φ = 175277327742720.

The previous prime is 613721470026661. The next prime is 613721470026719. The reversal of 613721470026672 is 276620074127316.

613721470026672 is a `hidden beast` number, since 6 + 1 + 37 + 214 + 70 + 0 + 266 + 72 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506479 + ... + 35038542.

Almost surely, 2^{613721470026672} 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 613721470026672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999401753243088).

613721470026672 is an abundant number, since it is smaller than the sum of its proper divisors (1385082036459504).

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

613721470026672 is a wasteful number, since it uses less digits than its factorization.

613721470026672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35547496 (or 35547480 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 613721470026672 in words is "six hundred thirteen trillion, seven hundred twenty-one billion, four hundred seventy million, twenty-six thousand, six hundred seventy-two".