64920446599680 has 960 divisors, whose sum is σ = 259623886579200. Its totient is φ = 14685308190720.

The previous prime is 64920446599663. The next prime is 64920446599733. The reversal of 64920446599680 is 8699564402946.

64920446599680 is a `hidden beast` number, since 6 + 4 + 9 + 20 + 4 + 4 + 6 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×64920446599680² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64920446599599 and 64920446599608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19847276445 + ... + 19847279715.

It is an arithmetic number, because the mean of its divisors is an integer number (270441548520).

Almost surely, 2^{64920446599680} is an apocalyptic number.

64920446599680 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 64920446599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129811943289600).

64920446599680 is an abundant number, since it is smaller than the sum of its proper divisors (194703439979520).

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

64920446599680 is a wasteful number, since it uses less digits than its factorization.

64920446599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 64920446599680 in words is "sixty-four trillion, nine hundred twenty billion, four hundred forty-six million, five hundred ninety-nine thousand, six hundred eighty".