216734192640 has 704 divisors, whose sum is σ = 889727731200. Its totient is φ = 49007296512.

The previous prime is 216734192627. The next prime is 216734192657. The reversal of 216734192640 is 46291437612.

216734192640 is a `hidden beast` number, since 2 + 167 + 341 + 92 + 64 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 93863806 + ... + 93866114.

It is an arithmetic number, because the mean of its divisors is an integer number (1263817800).

Almost surely, 2^216734192640 is an apocalyptic number.

216734192640 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 216734192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444863865600).

216734192640 is an abundant number, since it is smaller than the sum of its proper divisors (672993538560).

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

216734192640 is a wasteful number, since it uses less digits than its factorization.

216734192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 216734192640 in words is "two hundred sixteen billion, seven hundred thirty-four million, one hundred ninety-two thousand, six hundred forty".