6240844400 has 120 divisors (see below), whose sum is σ = 17192735904. Its totient is φ = 2132582400.

The previous prime is 6240844369. The next prime is 6240844409. The reversal of 6240844400 is 44480426.

It is a super-2 number, since 2×6240844400² = 77896277650022720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 (6240844409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872840 + ... + 879960.

Almost surely, 2^6240844400 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 6240844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596367952).

6240844400 is an abundant number, since it is smaller than the sum of its proper divisors (10951891504).

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

6240844400 is a wasteful number, since it uses less digits than its factorization.

6240844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 6240844400 is about 78999.0151837350. The cubic root of 6240844400 is about 1841.1158559259.

The spelling of 6240844400 in words is "six billion, two hundred forty million, eight hundred forty-four thousand, four hundred".