64985831400 has 384 divisors, whose sum is σ = 234499276800. Its totient is φ = 14580787200.

The previous prime is 64985831399. The next prime is 64985831527. The reversal of 64985831400 is 413858946.

It is a super-3 number, since 3×64985831400³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64985831400.

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 95 ways as a sum of consecutive naturals, for example, 114210316 + ... + 114210884.

It is an arithmetic number, because the mean of its divisors is an integer number (610675200).

Almost surely, 2^64985831400 is an apocalyptic number.

64985831400 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 64985831400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117249638400).

64985831400 is an abundant number, since it is smaller than the sum of its proper divisors (169513445400).

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

64985831400 is a wasteful number, since it uses less digits than its factorization.

64985831400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 64985831400 in words is "sixty-four billion, nine hundred eighty-five million, eight hundred thirty-one thousand, four hundred".