64825286400 has 648 divisors, whose sum is σ = 271106675840. Its totient is φ = 14468751360.

The previous prime is 64825286389. The next prime is 64825286441. The reversal of 64825286400 is 468252846.

64825286400 is a `hidden beast` number, since 6 + 4 + 82 + 528 + 6 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17335731 + ... + 17339469.

Almost surely, 2^64825286400 is an apocalyptic number.

64825286400 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 64825286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135553337920).

64825286400 is an abundant number, since it is smaller than the sum of its proper divisors (206281389440).

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

64825286400 is a wasteful number, since it uses less digits than its factorization.

64825286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 64825286400 in words is "sixty-four billion, eight hundred twenty-five million, two hundred eighty-six thousand, four hundred".