64868472345600 has 3960 divisors, whose sum is σ = 307890618596352. Its totient is φ = 13343765299200.

The previous prime is 64868472345539. The next prime is 64868472345629. The reversal of 64868472345600 is 654327486846.

64868472345600 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 8 + 47 + 23 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 141944140572 + ... + 141944141028.

Almost surely, 2^{64868472345600} is an apocalyptic number.

64868472345600 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 64868472345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153945309298176).

64868472345600 is an abundant number, since it is smaller than the sum of its proper divisors (243022146250752).

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

64868472345600 is a wasteful number, since it uses less digits than its factorization.

64868472345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 64868472345600 in words is "sixty-four trillion, eight hundred sixty-eight billion, four hundred seventy-two million, three hundred forty-five thousand, six hundred".