61663647360 has 256 divisors, whose sum is σ = 224964345600. Its totient is φ = 14073692160.

The previous prime is 61663647323. The next prime is 61663647371. The reversal of 61663647360 is 6374636616.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10224826 + ... + 10230854.

It is an arithmetic number, because the mean of its divisors is an integer number (878766975).

Almost surely, 2^61663647360 is an apocalyptic number.

61663647360 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 61663647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112482172800).

61663647360 is an abundant number, since it is smaller than the sum of its proper divisors (163300698240).

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

61663647360 is a wasteful number, since it uses less digits than its factorization.

61663647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 61663647360 in words is "sixty-one billion, six hundred sixty-three million, six hundred forty-seven thousand, three hundred sixty".