6725902400 has 336 divisors, whose sum is σ = 19704905472. Its totient is φ = 2211840000.

The previous prime is 6725902399. The next prime is 6725902411. The reversal of 6725902400 is 42095276.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44542325 + ... + 44542475.

It is an arithmetic number, because the mean of its divisors is an integer number (58645552).

Almost surely, 2^6725902400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6725902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852452736).

6725902400 is an abundant number, since it is smaller than the sum of its proper divisors (12979003072).

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

6725902400 is a wasteful number, since it uses less digits than its factorization.

6725902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 6725902400 is about 82011.5991796282. The cubic root of 6725902400 is about 1887.6299248313.

Adding to 6725902400 its reverse (42095276), we get a palindrome (6767997676).

The spelling of 6725902400 in words is "six billion, seven hundred twenty-five million, nine hundred two thousand, four hundred".