63964948320000 has 4320 divisors, whose sum is σ = 298719805063680. Its totient is φ = 13287628800000.

The previous prime is 63964948319977. The next prime is 63964948320067. The reversal of 63964948320000 is 2384946936.

63964948320000 is a `hidden beast` number, since 6 + 396 + 4 + 9 + 48 + 3 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×63964948320000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 357346079911 + ... + 357346080089.

It is an arithmetic number, because the mean of its divisors is an integer number (69148103024).

Almost surely, 2^{63964948320000} is an apocalyptic number.

63964948320000 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 63964948320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149359902531840).

63964948320000 is an abundant number, since it is smaller than the sum of its proper divisors (234754856743680).

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

63964948320000 is a wasteful number, since it uses less digits than its factorization.

63964948320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 63964948320000 in words is "sixty-three trillion, nine hundred sixty-four billion, nine hundred forty-eight million, three hundred twenty thousand".