61468160000 has 260 divisors, whose sum is σ = 165507608112. Its totient is φ = 22683648000.

The previous prime is 61468159981. The next prime is 61468160011. The reversal of 61468160000 is 6186416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (260).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33279077 + ... + 33280923.

Almost surely, 2^61468160000 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 61468160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82753804056).

61468160000 is an abundant number, since it is smaller than the sum of its proper divisors (104039448112).

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

61468160000 is an equidigital number, since it uses as much as digits as its factorization.

61468160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 61468160000 in words is "sixty-one billion, four hundred sixty-eight million, one hundred sixty thousand".