64264446400 has 336 divisors, whose sum is σ = 197835194880. Its totient is φ = 19960934400.

The previous prime is 64264446391. The next prime is 64264446413. The reversal of 64264446400 is 464446246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44228074 + ... + 44229526.

Almost surely, 2^64264446400 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 64264446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98917597440).

64264446400 is an abundant number, since it is smaller than the sum of its proper divisors (133570748480).

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

64264446400 is a wasteful number, since it uses less digits than its factorization.

64264446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The spelling of 64264446400 in words is "sixty-four billion, two hundred sixty-four million, four hundred forty-six thousand, four hundred".