6297926400 has 324 divisors, whose sum is σ = 22952468448. Its totient is φ = 1646960640.

The previous prime is 6297926387. The next prime is 6297926413. The reversal of 6297926400 is 46297926.

It is an interprime number because it is at equal distance from previous prime (6297926387) and next prime (6297926413).

It is a super-3 number, since 3×6297926400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3051769 + ... + 3053831.

It is an arithmetic number, because the mean of its divisors is an integer number (70840952).

Almost surely, 2^6297926400 is an apocalyptic number.

6297926400 is a gapful number since it is divisible by the number (60) 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 6297926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476234224).

6297926400 is an abundant number, since it is smaller than the sum of its proper divisors (16654542048).

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

6297926400 is a wasteful number, since it uses less digits than its factorization.

6297926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6297926400 is about 79359.4758047204. The cubic root of 6297926400 is about 1846.7120952794.

The spelling of 6297926400 in words is "six billion, two hundred ninety-seven million, nine hundred twenty-six thousand, four hundred".