6254076400 has 240 divisors, whose sum is σ = 18226833408. Its totient is φ = 2030976000.

The previous prime is 6254076397. The next prime is 6254076401. The reversal of 6254076400 is 46704526.

It is a super-2 number, since 2×6254076400² = 78226943234073920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6254076401) 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, 1771437 + ... + 1774963.

Almost surely, 2^6254076400 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 6254076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113416704).

6254076400 is an abundant number, since it is smaller than the sum of its proper divisors (11972757008).

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

6254076400 is a wasteful number, since it uses less digits than its factorization.

6254076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 6254076400 is about 79082.7187190729. The cubic root of 6254076400 is about 1842.4161312466.

The spelling of 6254076400 in words is "six billion, two hundred fifty-four million, seventy-six thousand, four hundred".