249334087680 has 960 divisors, whose sum is σ = 990874080000. Its totient is φ = 59114520576.

The previous prime is 249334087643. The next prime is 249334087703. The reversal of 249334087680 is 86780433942.

249334087680 is a `hidden beast` number, since 2 + 4 + 93 + 3 + 408 + 76 + 80 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714424146 + ... + 714424494.

It is an arithmetic number, because the mean of its divisors is an integer number (1032160500).

Almost surely, 2^249334087680 is an apocalyptic number.

249334087680 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 249334087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495437040000).

249334087680 is an abundant number, since it is smaller than the sum of its proper divisors (741539992320).

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

249334087680 is a wasteful number, since it uses less digits than its factorization.

249334087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 249334087680 in words is "two hundred forty-nine billion, three hundred thirty-four million, eighty-seven thousand, six hundred eighty".