6249726405 has 192 divisors, whose sum is σ = 13076743680. Its totient is φ = 2729852928.

The previous prime is 6249726389. The next prime is 6249726407. The reversal of 6249726405 is 5046279426.

It is not a de Polignac number, because 6249726405 - 2⁴ = 6249726389 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6249726407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20357262 + ... + 20357568.

It is an arithmetic number, because the mean of its divisors is an integer number (68108040).

Almost surely, 2^6249726405 is an apocalyptic number.

6249726405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6249726405 is an abundant number, since it is smaller than the sum of its proper divisors (6827017275).

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

6249726405 is a wasteful number, since it uses less digits than its factorization.

6249726405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6249726405 is about 79055.2111185594. The cubic root of 6249726405 is about 1841.9888707254.

The spelling of 6249726405 in words is "six billion, two hundred forty-nine million, seven hundred twenty-six thousand, four hundred five".