61377175872 has 280 divisors, whose sum is σ = 190685537856. Its totient is φ = 19483656192.

The previous prime is 61377175861. The next prime is 61377175879. The reversal of 61377175872 is 27857177316.

61377175872 is a `hidden beast` number, since 613 + 7 + 7 + 17 + 5 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61377175879) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30641623 + ... + 30643625.

Almost surely, 2^61377175872 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 61377175872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95342768928).

61377175872 is an abundant number, since it is smaller than the sum of its proper divisors (129308361984).

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

61377175872 is a wasteful number, since it uses less digits than its factorization.

61377175872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2288 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 54.

The spelling of 61377175872 in words is "sixty-one billion, three hundred seventy-seven million, one hundred seventy-five thousand, eight hundred seventy-two".