64469260800 has 1440 divisors, whose sum is σ = 284594999040. Its totient is φ = 14422302720.

The previous prime is 64469260799. The next prime is 64469260831. The reversal of 64469260800 is 806296446.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1371686377 + ... + 1371686423.

It is an arithmetic number, because the mean of its divisors is an integer number (197635416).

Almost surely, 2^64469260800 is an apocalyptic number.

64469260800 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 64469260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142297499520).

64469260800 is an abundant number, since it is smaller than the sum of its proper divisors (220125738240).

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

64469260800 is an frugal number, since it uses more digits than its factorization.

64469260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64469260800 in words is "sixty-four billion, four hundred sixty-nine million, two hundred sixty thousand, eight hundred".