233497672704 has 176 divisors, whose sum is σ = 696962560000. Its totient is φ = 77218541568.

The previous prime is 233497672703. The next prime is 233497672739. The reversal of 233497672704 is 407276794332.

233497672704 is a `hidden beast` number, since 23 + 3 + 497 + 67 + 2 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233497672703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3478047 + ... + 3544545.

Almost surely, 2^233497672704 is an apocalyptic number.

233497672704 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 233497672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348481280000).

233497672704 is an abundant number, since it is smaller than the sum of its proper divisors (463464887296).

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

233497672704 is a wasteful number, since it uses less digits than its factorization.

233497672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66655 (or 66631 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 233497672704 in words is "two hundred thirty-three billion, four hundred ninety-seven million, six hundred seventy-two thousand, seven hundred four".