61602646560 has 384 divisors, whose sum is σ = 239492381184. Its totient is φ = 12961382400.

The previous prime is 61602646537. The next prime is 61602646571. The reversal of 61602646560 is 6564620616.

It is a happy number.

61602646560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17513922 + ... + 17517438.

It is an arithmetic number, because the mean of its divisors is an integer number (623678076).

Almost surely, 2^61602646560 is an apocalyptic number.

61602646560 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 61602646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119746190592).

61602646560 is an abundant number, since it is smaller than the sum of its proper divisors (177889734624).

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

61602646560 is a wasteful number, since it uses less digits than its factorization.

61602646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 61602646560 in words is "sixty-one billion, six hundred two million, six hundred forty-six thousand, five hundred sixty".