64023161400 has 288 divisors, whose sum is σ = 243246931200. Its totient is φ = 15520636800.

The previous prime is 64023161369. The next prime is 64023161417. The reversal of 64023161400 is 416132046.

64023161400 is a `hidden beast` number, since 6 + 40 + 2 + 3 + 1 + 614 + 0 + 0 = 666.

64023161400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474721 + ... + 594479.

It is an arithmetic number, because the mean of its divisors is an integer number (844607400).

Almost surely, 2^64023161400 is an apocalyptic number.

64023161400 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 64023161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121623465600).

64023161400 is an abundant number, since it is smaller than the sum of its proper divisors (179223769800).

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

64023161400 is a wasteful number, since it uses less digits than its factorization.

64023161400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119801 (or 119780 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 64023161400 its reverse (416132046), we get a palindrome (64439293446).

The spelling of 64023161400 in words is "sixty-four billion, twenty-three million, one hundred sixty-one thousand, four hundred".