6145956960 has 768 divisors, whose sum is σ = 25239029760. Its totient is φ = 1232732160.

The previous prime is 6145956931. The next prime is 6145956989. The reversal of 6145956960 is 696595416.

It is an interprime number because it is at equal distance from previous prime (6145956931) and next prime (6145956989).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26838126 + ... + 26838354.

It is an arithmetic number, because the mean of its divisors is an integer number (32863320).

Almost surely, 2^6145956960 is an apocalyptic number.

6145956960 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 6145956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619514880).

6145956960 is an abundant number, since it is smaller than the sum of its proper divisors (19093072800).

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

6145956960 is a wasteful number, since it uses less digits than its factorization.

6145956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The square root of 6145956960 is about 78396.1539872971. The cubic root of 6145956960 is about 1831.7372257749.

The spelling of 6145956960 in words is "six billion, one hundred forty-five million, nine hundred fifty-six thousand, nine hundred sixty".