64988730829440 has 2560 divisors, whose sum is σ = 266637318393600. Its totient is φ = 14945137459200.

The previous prime is 64988730829381. The next prime is 64988730829457. The reversal of 64988730829440 is 4492803788946.

64988730829440 is a `hidden beast` number, since 6 + 4 + 98 + 8 + 73 + 0 + 8 + 29 + 440 = 666.

64988730829440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64988730829440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 221804541934 + ... + 221804542226.

Almost surely, 2^{64988730829440} is an apocalyptic number.

64988730829440 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 64988730829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133318659196800).

64988730829440 is an abundant number, since it is smaller than the sum of its proper divisors (201648587564160).

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

64988730829440 is a wasteful number, since it uses less digits than its factorization.

64988730829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 64988730829440 in words is "sixty-four trillion, nine hundred eighty-eight billion, seven hundred thirty million, eight hundred twenty-nine thousand, four hundred forty".