64806194400 has 576 divisors, whose sum is σ = 228081401856. Its totient is φ = 15950592000.

The previous prime is 64806194399. The next prime is 64806194407. The reversal of 64806194400 is 449160846.

It is a super-2 number, since 2×64806194400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64806194407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150362185 + ... + 150362615.

It is an arithmetic number, because the mean of its divisors is an integer number (395974656).

Almost surely, 2^64806194400 is an apocalyptic number.

64806194400 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 64806194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114040700928).

64806194400 is an abundant number, since it is smaller than the sum of its proper divisors (163275207456).

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

64806194400 is a wasteful number, since it uses less digits than its factorization.

64806194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 64806194400 in words is "sixty-four billion, eight hundred six million, one hundred ninety-four thousand, four hundred".