6257150640 has 480 divisors, whose sum is σ = 23804815680. Its totient is φ = 1509580800.

The previous prime is 6257150629. The next prime is 6257150789. The reversal of 6257150640 is 460517526.

It is a happy number.

6257150640 is a `hidden beast` number, since 6 + 2 + 5 + 7 + 1 + 5 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6257150595 and 6257150604.

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, 22267300 + ... + 22267580.

It is an arithmetic number, because the mean of its divisors is an integer number (49593366).

Almost surely, 2^6257150640 is an apocalyptic number.

6257150640 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 6257150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902407840).

6257150640 is an abundant number, since it is smaller than the sum of its proper divisors (17547665040).

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

6257150640 is a wasteful number, since it uses less digits than its factorization.

6257150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6257150640 is about 79102.1531944611. The cubic root of 6257150640 is about 1842.7179664653.

The spelling of 6257150640 in words is "six billion, two hundred fifty-seven million, one hundred fifty thousand, six hundred forty".