64099531800 has 288 divisors, whose sum is σ = 217982700000. Its totient is φ = 16879104000.

The previous prime is 64099531757. The next prime is 64099531889. The reversal of 64099531800 is 813599046.

It is a happy number.

It is a super-2 number, since 2×64099531800² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53371200 + ... + 53372400.

It is an arithmetic number, because the mean of its divisors is an integer number (756884375).

Almost surely, 2^64099531800 is an apocalyptic number.

64099531800 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 64099531800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108991350000).

64099531800 is an abundant number, since it is smaller than the sum of its proper divisors (153883168200).

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

64099531800 is a wasteful number, since it uses less digits than its factorization.

64099531800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 64099531800 in words is "sixty-four billion, ninety-nine million, five hundred thirty-one thousand, eight hundred".