6248246400 has 576 divisors, whose sum is σ = 24673465440. Its totient is φ = 1505433600.

The previous prime is 6248246399. The next prime is 6248246413. The reversal of 6248246400 is 46428426.

It is a happy number.

6248246400 is a `hidden beast` number, since 6 + 2 + 4 + 8 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6248246400² = 78081166150225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38332719 + ... + 38332881.

Almost surely, 2^6248246400 is an apocalyptic number.

6248246400 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 6248246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336732720).

6248246400 is an abundant number, since it is smaller than the sum of its proper divisors (18425219040).

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

6248246400 is a wasteful number, since it uses less digits than its factorization.

6248246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6248246400 is about 79045.8499859417. The cubic root of 6248246400 is about 1841.8434580686.

The spelling of 6248246400 in words is "six billion, two hundred forty-eight million, two hundred forty-six thousand, four hundred".