282680907678720 has 440 divisors, whose sum is σ = 1016029368497088. Its totient is φ = 75153799987200.

The previous prime is 282680907678703. The next prime is 282680907678761. The reversal of 282680907678720 is 27876709086282.

282680907678720 is a `hidden beast` number, since 282 + 68 + 0 + 90 + 76 + 78 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136242685 + ... + 138301955.

Almost surely, 2^{282680907678720} is an apocalyptic number.

282680907678720 is a gapful number since it is divisible by the number (20) 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 282680907678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508014684248544).

282680907678720 is an abundant number, since it is smaller than the sum of its proper divisors (733348460818368).

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

282680907678720 is a wasteful number, since it uses less digits than its factorization.

282680907678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059639 (or 2059612 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 282680907678720 in words is "two hundred eighty-two trillion, six hundred eighty billion, nine hundred seven million, six hundred seventy-eight thousand, seven hundred twenty".