64740782400 has 336 divisors, whose sum is σ = 255525788160. Its totient is φ = 14018918400.

The previous prime is 64740782399. The next prime is 64740782521. The reversal of 64740782400 is 428704746.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×64740782400⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587695 + ... + 689105.

Almost surely, 2^64740782400 is an apocalyptic number.

64740782400 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 64740782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127762894080).

64740782400 is an abundant number, since it is smaller than the sum of its proper divisors (190785005760).

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

64740782400 is a wasteful number, since it uses less digits than its factorization.

64740782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101462 (or 101447 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 64740782400 in words is "sixty-four billion, seven hundred forty million, seven hundred eighty-two thousand, four hundred".