61575679872 has 768 divisors, whose sum is σ = 227680891200. Its totient is φ = 16275603456.

The previous prime is 61575679861. The next prime is 61575679877. The reversal of 61575679872 is 27897657516.

61575679872 is a `hidden beast` number, since 61 + 5 + 7 + 567 + 9 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (44452800) is a multiple of the sum of its prime factors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61575679877) 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, 210155758 + ... + 210156050.

Almost surely, 2^61575679872 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 61575679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113840445600).

61575679872 is an abundant number, since it is smaller than the sum of its proper divisors (166105211328).

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

61575679872 is a wasteful number, since it uses less digits than its factorization.

61575679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The spelling of 61575679872 in words is "sixty-one billion, five hundred seventy-five million, six hundred seventy-nine thousand, eight hundred seventy-two".