6514236960 has 384 divisors, whose sum is σ = 25708161024. Its totient is φ = 1347010560.

The previous prime is 6514236947. The next prime is 6514236997. The reversal of 6514236960 is 696324156.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 12455259 + ... + 12455781.

It is an arithmetic number, because the mean of its divisors is an integer number (66948336).

Almost surely, 2^6514236960 is an apocalyptic number.

6514236960 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 6514236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854080512).

6514236960 is an abundant number, since it is smaller than the sum of its proper divisors (19193924064).

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

6514236960 is a wasteful number, since it uses less digits than its factorization.

6514236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 6514236960 is about 80710.8230660548. The cubic root of 6514236960 is about 1867.6171389707.

The spelling of 6514236960 in words is "six billion, five hundred fourteen million, two hundred thirty-six thousand, nine hundred sixty".