6249640320 has 1152 divisors, whose sum is σ = 28765346400. Its totient is φ = 1277337600.

The previous prime is 6249640307. The next prime is 6249640343. The reversal of 6249640320 is 230469426.

6249640320 is a `hidden beast` number, since 6 + 2 + 4 + 9 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102453090 + ... + 102453150.

Almost surely, 2^6249640320 is an apocalyptic number.

6249640320 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 6249640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382673200).

6249640320 is an abundant number, since it is smaller than the sum of its proper divisors (22515706080).

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

6249640320 is a wasteful number, since it uses less digits than its factorization.

6249640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6249640320 is about 79054.6666554227. Note that the first 4 decimals coincide. The cubic root of 6249640320 is about 1841.9804133770.

The spelling of 6249640320 in words is "six billion, two hundred forty-nine million, six hundred forty thousand, three hundred twenty".