61479640320000 has 1920 divisors, whose sum is σ = 245817873100800. Its totient is φ = 13355679744000.

The previous prime is 61479640319969. The next prime is 61479640320029. The reversal of 61479640320000 is 2304697416.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 171252479821 + ... + 171252480179.

It is an arithmetic number, because the mean of its divisors is an integer number (128030142240).

Almost surely, 2^{61479640320000} is an apocalyptic number.

61479640320000 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 61479640320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122908936550400).

61479640320000 is an abundant number, since it is smaller than the sum of its proper divisors (184338232780800).

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

61479640320000 is a wasteful number, since it uses less digits than its factorization.

61479640320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 61479640320000 in words is "sixty-one trillion, four hundred seventy-nine billion, six hundred forty million, three hundred twenty thousand".