64812800 has 216 divisors, whose sum is σ = 186290160. Its totient is φ = 22118400.

The previous prime is 64812793. The next prime is 64812809. The reversal of 64812800 is 821846.

64812800 = T₂₄₅ + T₂₄₆ + ... + T₇₃₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64812809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580780 + ... + 1580820.

Almost surely, 2^64812800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93145080).

64812800 is an abundant number, since it is smaller than the sum of its proper divisors (121477360).

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

64812800 is a wasteful number, since it uses less digits than its factorization.

64812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 64812800 is about 8050.6397261336. The cubic root of 64812800 is about 401.6862150420.

It can be divided in two parts, 648 and 12800, that multiplied together give a square (8294400 = 2880²).

The spelling of 64812800 in words is "sixty-four million, eight hundred twelve thousand, eight hundred".