6149257920 has 672 divisors, whose sum is σ = 24537082752. Its totient is φ = 1401421824.

The previous prime is 6149257861. The next prime is 6149257937. The reversal of 6149257920 is 297529416.

6149257920 is a `hidden beast` number, since 614 + 9 + 2 + 5 + 7 + 9 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 31861344 + ... + 31861536.

It is an arithmetic number, because the mean of its divisors is an integer number (36513516).

Almost surely, 2^6149257920 is an apocalyptic number.

6149257920 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 6149257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268541376).

6149257920 is an abundant number, since it is smaller than the sum of its proper divisors (18387824832).

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

6149257920 is a wasteful number, since it uses less digits than its factorization.

6149257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 6149257920 is about 78417.2042347851. The cubic root of 6149257920 is about 1832.0651057760.

The spelling of 6149257920 in words is "six billion, one hundred forty-nine million, two hundred fifty-seven thousand, nine hundred twenty".