6157240320 has 768 divisors, whose sum is σ = 26040268800. Its totient is φ = 1203240960.

The previous prime is 6157240291. The next prime is 6157240321. The reversal of 6157240320 is 230427516.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6157240321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44943292 + ... + 44943428.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 2^6157240320 is an apocalyptic number.

6157240320 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 6157240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020134400).

6157240320 is an abundant number, since it is smaller than the sum of its proper divisors (19883028480).

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

6157240320 is a wasteful number, since it uses less digits than its factorization.

6157240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 6157240320 is about 78468.0847223889. The cubic root of 6157240320 is about 1832.8575023701.

Adding to 6157240320 its reverse (230427516), we get a palindrome (6387667836).

The spelling of 6157240320 in words is "six billion, one hundred fifty-seven million, two hundred forty thousand, three hundred twenty".