245713764782400 has 168 divisors, whose sum is σ = 848574642374880. Its totient is φ = 62075056343040.

The previous prime is 245713764782399. The next prime is 245713764782501. The reversal of 245713764782400 is 4287467317542.

It is a happy number.

245713764782400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347023739 + ... + 1347206138.

Almost surely, 2^{245713764782400} is an apocalyptic number.

245713764782400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245713764782400 is an abundant number, since it is smaller than the sum of its proper divisors (602860877592480).

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

245713764782400 is a wasteful number, since it uses less digits than its factorization.

245713764782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694229921 (or 2694229906 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 60.

The spelling of 245713764782400 in words is "two hundred forty-five trillion, seven hundred thirteen billion, seven hundred sixty-four million, seven hundred eighty-two thousand, four hundred".