64306201639680 has 4608 divisors, whose sum is σ = 321786764328960. Its totient is φ = 11728945152000.

The previous prime is 64306201639663. The next prime is 64306201639703. The reversal of 64306201639680 is 8693610260346.

64306201639680 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 620 + 1 + 6 + 3 + 9 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 65418312469 + ... + 65418313451.

It is an arithmetic number, because the mean of its divisors is an integer number (69832197120).

Almost surely, 2^{64306201639680} is an apocalyptic number.

64306201639680 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 64306201639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160893382164480).

64306201639680 is an abundant number, since it is smaller than the sum of its proper divisors (257480562689280).

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

64306201639680 is a wasteful number, since it uses less digits than its factorization.

64306201639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

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

The spelling of 64306201639680 in words is "sixty-four trillion, three hundred six billion, two hundred one million, six hundred thirty-nine thousand, six hundred eighty".