64296061200 has 480 divisors, whose sum is σ = 262251825920. Its totient is φ = 14656204800.

The previous prime is 64296061087. The next prime is 64296061213. The reversal of 64296061200 is 216069246.

64296061200 is a `hidden beast` number, since 6 + 4 + 29 + 606 + 1 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34548270 + ... + 34550130.

Almost surely, 2^64296061200 is an apocalyptic number.

64296061200 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 64296061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131125912960).

64296061200 is an abundant number, since it is smaller than the sum of its proper divisors (197955764720).

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

64296061200 is a wasteful number, since it uses less digits than its factorization.

64296061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 64296061200 in words is "sixty-four billion, two hundred ninety-six million, sixty-one thousand, two hundred".