64746646272 has 648 divisors, whose sum is σ = 245802053952. Its totient is φ = 16808601600.

The previous prime is 64746646259. The next prime is 64746646273. The reversal of 64746646272 is 27264664746.

64746646272 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 6 + 6 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64746646273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33529147 + ... + 33531077.

Almost surely, 2^64746646272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64746646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122901026976).

64746646272 is an abundant number, since it is smaller than the sum of its proper divisors (181055407680).

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

64746646272 is a wasteful number, since it uses less digits than its factorization.

64746646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1954 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 64746646272 in words is "sixty-four billion, seven hundred forty-six million, six hundred forty-six thousand, two hundred seventy-two".