61274161872 has 720 divisors, whose sum is σ = 229592388480. Its totient is φ = 14890106880.

The previous prime is 61274161847. The next prime is 61274161969. The reversal of 61274161872 is 27816147216.

61274161872 is a `hidden beast` number, since 6 + 1 + 27 + 4 + 1 + 618 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (225792) is a multiple of the sum of its prime factors (392).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 317482608 + ... + 317482800.

Almost surely, 2^61274161872 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 61274161872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114796194240).

61274161872 is an abundant number, since it is smaller than the sum of its proper divisors (168318226608).

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

61274161872 is a wasteful number, since it uses less digits than its factorization.

61274161872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 61274161872 in words is "sixty-one billion, two hundred seventy-four million, one hundred sixty-one thousand, eight hundred seventy-two".