64029772800 has 1188 divisors, whose sum is σ = 278566076880. Its totient is φ = 13748797440.

The previous prime is 64029772789. The next prime is 64029772811. The reversal of 64029772800 is 827792046.

It is an interprime number because it is at equal distance from previous prime (64029772789) and next prime (64029772811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1730534382 + ... + 1730534418.

Almost surely, 2^64029772800 is an apocalyptic number.

64029772800 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 64029772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139283038440).

64029772800 is an abundant number, since it is smaller than the sum of its proper divisors (214536304080).

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

64029772800 is a wasteful number, since it uses less digits than its factorization.

64029772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 64029772800 in words is "sixty-four billion, twenty-nine million, seven hundred seventy-two thousand, eight hundred".