61496184960 has 384 divisors, whose sum is σ = 251683286400. Its totient is φ = 14056022016.

The previous prime is 61496184923. The next prime is 61496184973. The reversal of 61496184960 is 6948169416.

It is a happy number.

61496184960 is a `hidden beast` number, since 6 + 14 + 9 + 618 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 61496184897 and 61496184906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060396 + ... + 1116884.

It is an arithmetic number, because the mean of its divisors is an integer number (655425225).

Almost surely, 2^61496184960 is an apocalyptic number.

61496184960 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 61496184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125841643200).

61496184960 is an abundant number, since it is smaller than the sum of its proper divisors (190187101440).

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

61496184960 is an equidigital number, since it uses as much as digits as its factorization.

61496184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56530 (or 56506 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 61496184960 in words is "sixty-one billion, four hundred ninety-six million, one hundred eighty-four thousand, nine hundred sixty".