249968996640 has 288 divisors, whose sum is σ = 952210074816. Its totient is φ = 59189114880.

The previous prime is 249968996621. The next prime is 249968996671. The reversal of 249968996640 is 46699869942.

249968996640 is a `hidden beast` number, since 2 + 499 + 6 + 8 + 9 + 96 + 6 + 40 = 666.

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

It is a super-3 number, since 3×249968996640³ (a number of 35 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 497622 + ... + 864618.

It is an arithmetic number, because the mean of its divisors is an integer number (3306284982).

Almost surely, 2^249968996640 is an apocalyptic number.

249968996640 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 249968996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476105037408).

249968996640 is an abundant number, since it is smaller than the sum of its proper divisors (702241078176).

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

249968996640 is a wasteful number, since it uses less digits than its factorization.

249968996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367072 (or 367061 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 249968996640 in words is "two hundred forty-nine billion, nine hundred sixty-eight million, nine hundred ninety-six thousand, six hundred forty".