64542010982400 has 4050 divisors, whose sum is σ = 295715407631490. Its totient is φ = 13858787819520.

The previous prime is 64542010982381. The next prime is 64542010982431. The reversal of 64542010982400 is 428901024546.

It is a happy number.

64542010982400 is a `hidden beast` number, since 6 + 4 + 5 + 420 + 109 + 82 + 40 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 291911122944 + 64250099859456 = 540288^2 + 8015616^2 .

It is a tau number, because it is divible by the number of its divisors (4050).

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 269 ways as a sum of consecutive naturals, for example, 1744378675182 + ... + 1744378675218.

Almost surely, 2^{64542010982400} is an apocalyptic number.

64542010982400 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 64542010982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147857703815745).

64542010982400 is an abundant number, since it is smaller than the sum of its proper divisors (231173396649090).

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

64542010982400 is an equidigital number, since it uses as much as digits as its factorization.

64542010982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 64542010982400 in words is "sixty-four trillion, five hundred forty-two billion, ten million, nine hundred eighty-two thousand, four hundred".