6248773808640 has 960 divisors, whose sum is σ = 25241878202112. Its totient is φ = 1411802726400.

The previous prime is 6248773808609. The next prime is 6248773808653. The reversal of 6248773808640 is 468083778426.

6248773808640 is a `hidden beast` number, since 6 + 2 + 487 + 7 + 38 + 0 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6248773808640² (a number of 26 digits) contains 22 as substring.

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, 443766400 + ... + 443780480.

Almost surely, 2^{6248773808640} is an apocalyptic number.

6248773808640 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 6248773808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620939101056).

6248773808640 is an abundant number, since it is smaller than the sum of its proper divisors (18993104393472).

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

6248773808640 is a wasteful number, since it uses less digits than its factorization.

6248773808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14241 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 6248773808640 in words is "six trillion, two hundred forty-eight billion, seven hundred seventy-three million, eight hundred eight thousand, six hundred forty".