216264674400 has 288 divisors, whose sum is σ = 730155329568. Its totient is φ = 55554048000.

The previous prime is 216264674393. The next prime is 216264674401. The reversal of 216264674400 is 4476462612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216264674401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8956744 + ... + 8980856.

It is an arithmetic number, because the mean of its divisors is an integer number (2535261561).

Almost surely, 2^216264674400 is an apocalyptic number.

216264674400 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 216264674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365077664784).

216264674400 is an abundant number, since it is smaller than the sum of its proper divisors (513890655168).

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

216264674400 is a wasteful number, since it uses less digits than its factorization.

216264674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24274 (or 24261 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 216264674400 in words is "two hundred sixteen billion, two hundred sixty-four million, six hundred seventy-four thousand, four hundred".