200657674464 has 192 divisors, whose sum is σ = 573613286400. Its totient is φ = 61049935872.

The previous prime is 200657674457. The next prime is 200657674471. The reversal of 200657674464 is 464476756002.

It is an interprime number because it is at equal distance from previous prime (200657674457) and next prime (200657674471).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84202617 + ... + 84204999.

It is an arithmetic number, because the mean of its divisors is an integer number (2987569200).

Almost surely, 2^200657674464 is an apocalyptic number.

200657674464 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 200657674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286806643200).

200657674464 is an abundant number, since it is smaller than the sum of its proper divisors (372955611936).

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

200657674464 is a wasteful number, since it uses less digits than its factorization.

200657674464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 200657674464 in words is "two hundred billion, six hundred fifty-seven million, six hundred seventy-four thousand, four hundred sixty-four".