61648564320 has 768 divisors, whose sum is σ = 266005555200. Its totient is φ = 13018890240.

The previous prime is 61648564319. The next prime is 61648564333. The reversal of 61648564320 is 2346584616.

61648564320 is a `hidden beast` number, since 6 + 1 + 64 + 8 + 564 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23555652 + ... + 23558268.

It is an arithmetic number, because the mean of its divisors is an integer number (346361400).

Almost surely, 2^61648564320 is an apocalyptic number.

61648564320 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 61648564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133002777600).

61648564320 is an abundant number, since it is smaller than the sum of its proper divisors (204356990880).

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

61648564320 is a wasteful number, since it uses less digits than its factorization.

61648564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 61648564320 in words is "sixty-one billion, six hundred forty-eight million, five hundred sixty-four thousand, three hundred twenty".