250773797664 has 768 divisors, whose sum is σ = 842764124160. Its totient is φ = 72007004160.

The previous prime is 250773797663. The next prime is 250773797693. The reversal of 250773797664 is 466797377052.

250773797664 is a `hidden beast` number, since 2 + 507 + 7 + 37 + 97 + 6 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (250773797663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1974596769 + ... + 1974596895.

It is an arithmetic number, because the mean of its divisors is an integer number (1097349120).

Almost surely, 2^250773797664 is an apocalyptic number.

250773797664 is a gapful number since it is divisible by the number (24) 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 250773797664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421382062080).

250773797664 is an abundant number, since it is smaller than the sum of its proper divisors (591990326496).

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

250773797664 is a wasteful number, since it uses less digits than its factorization.

250773797664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 250773797664 in words is "two hundred fifty billion, seven hundred seventy-three million, seven hundred ninety-seven thousand, six hundred sixty-four".