23349405698640 has 1440 divisors, whose sum is σ = 95220832262400. Its totient is φ = 5020821504000.

The previous prime is 23349405698627. The next prime is 23349405698701. The reversal of 23349405698640 is 4689650494332.

23349405698640 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 9 + 4 + 0 + 569 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28862058556 + ... + 28862059364.

It is an arithmetic number, because the mean of its divisors is an integer number (66125577960).

Almost surely, 2^{23349405698640} is an apocalyptic number.

23349405698640 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 23349405698640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47610416131200).

23349405698640 is an abundant number, since it is smaller than the sum of its proper divisors (71871426563760).

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

23349405698640 is a wasteful number, since it uses less digits than its factorization.

23349405698640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 23349405698640 in words is "twenty-three trillion, three hundred forty-nine billion, four hundred five million, six hundred ninety-eight thousand, six hundred forty".