64009202400 has 2304 divisors, whose sum is σ = 306160404480. Its totient is φ = 12651724800.

The previous prime is 64009202399. The next prime is 64009202459. The reversal of 64009202400 is 420290046.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1207720774 + ... + 1207720826.

It is an arithmetic number, because the mean of its divisors is an integer number (132882120).

Almost surely, 2^64009202400 is an apocalyptic number.

64009202400 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 64009202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153080202240).

64009202400 is an abundant number, since it is smaller than the sum of its proper divisors (242151202080).

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

64009202400 is a wasteful number, since it uses less digits than its factorization.

64009202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 64009202400 its reverse (420290046), we get a palindrome (64429492446).

The spelling of 64009202400 in words is "sixty-four billion, nine million, two hundred two thousand, four hundred".