6265848960 has 640 divisors, whose sum is σ = 26445450240. Its totient is φ = 1383505920.

The previous prime is 6265848959. The next prime is 6265848971. The reversal of 6265848960 is 698485626.

It is a happy number.

6265848960 is a `hidden beast` number, since 626 + 5 + 8 + 4 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6265848897 and 6265848906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11249002 + ... + 11249558.

It is an arithmetic number, because the mean of its divisors is an integer number (41321016).

Almost surely, 2^6265848960 is an apocalyptic number.

6265848960 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 6265848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222725120).

6265848960 is an abundant number, since it is smaller than the sum of its proper divisors (20179601280).

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

6265848960 is a wasteful number, since it uses less digits than its factorization.

6265848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6265848960 is about 79157.1156624596. The cubic root of 6265848960 is about 1843.5714502037.

The spelling of 6265848960 in words is "six billion, two hundred sixty-five million, eight hundred forty-eight thousand, nine hundred sixty".