61653696000 has 640 divisors, whose sum is σ = 233897279616. Its totient is φ = 14273740800.

The previous prime is 61653695953. The next prime is 61653696023. The reversal of 61653696000 is 69635616.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42431274 + ... + 42432726.

Almost surely, 2^61653696000 is an apocalyptic number.

61653696000 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 61653696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116948639808).

61653696000 is an abundant number, since it is smaller than the sum of its proper divisors (172243583616).

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

61653696000 is a wasteful number, since it uses less digits than its factorization.

61653696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 61653696000 in words is "sixty-one billion, six hundred fifty-three million, six hundred ninety-six thousand".