840279951360 has 480 divisors, whose sum is σ = 3085407725400. Its totient is φ = 218600570880.

The previous prime is 840279951349. The next prime is 840279951383. The reversal of 840279951360 is 63159972048.

840279951360 is a `hidden beast` number, since 8 + 4 + 0 + 279 + 9 + 5 + 1 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 527145698304 + 313134253056 = 726048^2 + 559584^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 840279951297 and 840279951306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33994686 + ... + 34019394.

It is a 1-persistent number, because it is pandigital, but 2⋅840279951360 = 1680559902720 is not.

Almost surely, 2^840279951360 is an apocalyptic number.

840279951360 is a gapful number since it is divisible by the number (80) 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 840279951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542703862700).

840279951360 is an abundant number, since it is smaller than the sum of its proper divisors (2245127774040).

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

840279951360 is a wasteful number, since it uses less digits than its factorization.

840279951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24789 (or 24760 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 840279951360 in words is "eight hundred forty billion, two hundred seventy-nine million, nine hundred fifty-one thousand, three hundred sixty".