61642114560 has 600 divisors, whose sum is σ = 239208171840. Its totient is φ = 15164817408.

The previous prime is 61642114543. The next prime is 61642114601. The reversal of 61642114560 is 6541124616.

61642114560 is a `hidden beast` number, since 6 + 1 + 64 + 21 + 14 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35042961 + ... + 35044719.

Almost surely, 2^61642114560 is an apocalyptic number.

61642114560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61642114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119604085920).

61642114560 is an abundant number, since it is smaller than the sum of its proper divisors (177566057280).

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

61642114560 is a wasteful number, since it uses less digits than its factorization.

61642114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 61642114560 in words is "sixty-one billion, six hundred forty-two million, one hundred fourteen thousand, five hundred sixty".