213046632000 has 448 divisors, whose sum is σ = 806884116480. Its totient is φ = 54978048000.

The previous prime is 213046631999. The next prime is 213046632011. The reversal of 213046632000 is 236640312.

213046632000 is a `hidden beast` number, since 21 + 3 + 0 + 4 + 6 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6680092 + ... + 6711908.

Almost surely, 2^213046632000 is an apocalyptic number.

213046632000 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 213046632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403442058240).

213046632000 is an abundant number, since it is smaller than the sum of its proper divisors (593837484480).

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

213046632000 is a wasteful number, since it uses less digits than its factorization.

213046632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31884 (or 31858 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 213046632000 in words is "two hundred thirteen billion, forty-six million, six hundred thirty-two thousand".