206768732400 has 300 divisors, whose sum is σ = 742791865024. Its totient is φ = 55085184000.

The previous prime is 206768732399. The next prime is 206768732459. The reversal of 206768732400 is 4237867602.

206768732400 is a `hidden beast` number, since 206 + 7 + 6 + 8 + 7 + 32 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42797985 + ... + 42802815.

Almost surely, 2^206768732400 is an apocalyptic number.

206768732400 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 206768732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371395932512).

206768732400 is an abundant number, since it is smaller than the sum of its proper divisors (536023132624).

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

206768732400 is a wasteful number, since it uses less digits than its factorization.

206768732400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 206768732400 in words is "two hundred six billion, seven hundred sixty-eight million, seven hundred thirty-two thousand, four hundred".