64406788200 has 768 divisors, whose sum is σ = 242984448000. Its totient is φ = 15620567040.

The previous prime is 64406788181. The next prime is 64406788211. The reversal of 64406788200 is 288760446.

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 191 ways as a sum of consecutive naturals, for example, 601932547 + ... + 601932653.

It is an arithmetic number, because the mean of its divisors is an integer number (316386000).

Almost surely, 2^64406788200 is an apocalyptic number.

64406788200 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 64406788200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121492224000).

64406788200 is an abundant number, since it is smaller than the sum of its proper divisors (178577659800).

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

64406788200 is a wasteful number, since it uses less digits than its factorization.

64406788200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 64406788200 in words is "sixty-four billion, four hundred six million, seven hundred eighty-eight thousand, two hundred".