64746864000 has 1792 divisors, whose sum is σ = 301921925760. Its totient is φ = 13436928000.

The previous prime is 64746863981. The next prime is 64746864001. The reversal of 64746864000 is 46864746.

64746864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64746864001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1061423970 + ... + 1061424030.

Almost surely, 2^64746864000 is an apocalyptic number.

64746864000 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 64746864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150960962880).

64746864000 is an abundant number, since it is smaller than the sum of its proper divisors (237175061760).

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

64746864000 is an equidigital number, since it uses as much as digits as its factorization.

64746864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 64746864000 in words is "sixty-four billion, seven hundred forty-six million, eight hundred sixty-four thousand".