64484726400 has 768 divisors, whose sum is σ = 255939868800. Its totient is φ = 15792537600.

The previous prime is 64484726389. The next prime is 64484726413. The reversal of 64484726400 is 462748446.

64484726400 is a `hidden beast` number, since 64 + 484 + 72 + 6 + 40 + 0 = 666.

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

It is a congruent number.

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, 63157890 + ... + 63158910.

Almost surely, 2^64484726400 is an apocalyptic number.

64484726400 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 64484726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127969934400).

64484726400 is an abundant number, since it is smaller than the sum of its proper divisors (191455142400).

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

64484726400 is a wasteful number, since it uses less digits than its factorization.

64484726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 64484726400 in words is "sixty-four billion, four hundred eighty-four million, seven hundred twenty-six thousand, four hundred".