64940047200 has 432 divisors, whose sum is σ = 262172907360. Its totient is φ = 14817116160.

The previous prime is 64940047189. The next prime is 64940047219. The reversal of 64940047200 is 274004946.

64940047200 is a `hidden beast` number, since 6 + 4 + 9 + 400 + 47 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50852962 + ... + 50854238.

It is an arithmetic number, because the mean of its divisors is an integer number (606881730).

Almost surely, 2^64940047200 is an apocalyptic number.

64940047200 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 64940047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131086453680).

64940047200 is an abundant number, since it is smaller than the sum of its proper divisors (197232860160).

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

64940047200 is a wasteful number, since it uses less digits than its factorization.

64940047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 64940047200 in words is "sixty-four billion, nine hundred forty million, forty-seven thousand, two hundred".