64056199680 has 1440 divisors, whose sum is σ = 271003404672. Its totient is φ = 14452162560.

The previous prime is 64056199667. The next prime is 64056199729. The reversal of 64056199680 is 8699165046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1731248622 + ... + 1731248658.

Almost surely, 2^64056199680 is an apocalyptic number.

64056199680 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 64056199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135501702336).

64056199680 is an abundant number, since it is smaller than the sum of its proper divisors (206947204992).

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

64056199680 is a wasteful number, since it uses less digits than its factorization.

64056199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 64056199680 in words is "sixty-four billion, fifty-six million, one hundred ninety-nine thousand, six hundred eighty".