840738687264 has 288 divisors, whose sum is σ = 2949522750720. Its totient is φ = 221843736576.

The previous prime is 840738687221. The next prime is 840738687359. The reversal of 840738687264 is 462786837048.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032054 + ... + 1657290.

It is an arithmetic number, because the mean of its divisors is an integer number (10241398440).

Almost surely, 2^840738687264 is an apocalyptic number.

840738687264 is a gapful number since it is divisible by the number (84) 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 840738687264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474761375360).

840738687264 is an abundant number, since it is smaller than the sum of its proper divisors (2108784063456).

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

840738687264 is a wasteful number, since it uses less digits than its factorization.

840738687264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625312 (or 625301 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 840738687264 in words is "eight hundred forty billion, seven hundred thirty-eight million, six hundred eighty-seven thousand, two hundred sixty-four".