61641562896 has 320 divisors, whose sum is σ = 205786828800. Its totient is φ = 17523247104.

The previous prime is 61641562889. The next prime is 61641562897. The reversal of 61641562896 is 69826514616.

61641562896 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 1 + 5 + 628 + 9 + 6 = 666.

61641562896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (61641562897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3199725 + ... + 3218931.

It is an arithmetic number, because the mean of its divisors is an integer number (643083840).

Almost surely, 2^61641562896 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 61641562896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102893414400).

61641562896 is an abundant number, since it is smaller than the sum of its proper divisors (144145265904).

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

61641562896 is a wasteful number, since it uses less digits than its factorization.

61641562896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19283 (or 19271 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 61641562896 in words is "sixty-one billion, six hundred forty-one million, five hundred sixty-two thousand, eight hundred ninety-six".