63857082240 has 960 divisors, whose sum is σ = 277064076960. Its totient is φ = 13948526592.

The previous prime is 63857082229. The next prime is 63857082257. The reversal of 63857082240 is 4228075836.

63857082240 is a `hidden beast` number, since 6 + 38 + 570 + 8 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×63857082240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58423134 + ... + 58424226.

Almost surely, 2^63857082240 is an apocalyptic number.

63857082240 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 63857082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138532038480).

63857082240 is an abundant number, since it is smaller than the sum of its proper divisors (213206994720).

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

63857082240 is a wasteful number, since it uses less digits than its factorization.

63857082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 63857082240 in words is "sixty-three billion, eight hundred fifty-seven million, eighty-two thousand, two hundred forty".