64653421916160 has 4992 divisors, whose sum is σ = 307088238428160. Its totient is φ = 12612796416000.

The previous prime is 64653421916131. The next prime is 64653421916179. The reversal of 64653421916160 is 6161912435646.

64653421916160 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 3 + 4 + 2 + 19 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64653421916097 and 64653421916106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 885663313884 + ... + 885663313956.

Almost surely, 2^{64653421916160} is an apocalyptic number.

64653421916160 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 64653421916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544119214080).

64653421916160 is an abundant number, since it is smaller than the sum of its proper divisors (242434816512000).

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

64653421916160 is a wasteful number, since it uses less digits than its factorization.

64653421916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 64653421916160 in words is "sixty-four trillion, six hundred fifty-three billion, four hundred twenty-one million, nine hundred sixteen thousand, one hundred sixty".