64963401600 has 384 divisors, whose sum is σ = 232520832000. Its totient is φ = 15881011200.

The previous prime is 64963401563. The next prime is 64963401637. The reversal of 64963401600 is 610436946.

It is an interprime number because it is at equal distance from previous prime (64963401563) and next prime (64963401637).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5648656 + ... + 5660144.

It is an arithmetic number, because the mean of its divisors is an integer number (605523000).

Almost surely, 2^64963401600 is an apocalyptic number.

64963401600 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 64963401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116260416000).

64963401600 is an abundant number, since it is smaller than the sum of its proper divisors (167557430400).

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

64963401600 is a wasteful number, since it uses less digits than its factorization.

64963401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11549 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 64963401600 in words is "sixty-four billion, nine hundred sixty-three million, four hundred one thousand, six hundred".