69864560640 has 1008 divisors, whose sum is σ = 293901229440. Its totient is φ = 15885434880.

The previous prime is 69864560581. The next prime is 69864560651. The reversal of 69864560640 is 4606546896.

69864560640 = 217³ + 218³ + ... + 728³.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365782945 + ... + 365783135.

It is an arithmetic number, because the mean of its divisors is an integer number (291568680).

Almost surely, 2^69864560640 is an apocalyptic number.

69864560640 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 69864560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146950614720).

69864560640 is an abundant number, since it is smaller than the sum of its proper divisors (224036668800).

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

69864560640 is an equidigital number, since it uses as much as digits as its factorization.

69864560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 69864560640 in words is "sixty-nine billion, eight hundred sixty-four million, five hundred sixty thousand, six hundred forty".