6265967984640 has 1680 divisors, whose sum is σ = 27773583918528. Its totient is φ = 1320903770112.

The previous prime is 6265967984599. The next prime is 6265967984641. The reversal of 6265967984640 is 464897695626.

6265967984640 is a `hidden beast` number, since 6 + 2 + 6 + 5 + 96 + 79 + 8 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6265967984641) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 5434490304 + ... + 5434491456.

Almost surely, 2^{6265967984640} is an apocalyptic number.

6265967984640 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 6265967984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886791959264).

6265967984640 is an abundant number, since it is smaller than the sum of its proper divisors (21507615933888).

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

6265967984640 is an equidigital number, since it uses as much as digits as its factorization.

6265967984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 6265967984640 in words is "six trillion, two hundred sixty-five billion, nine hundred sixty-seven million, nine hundred eighty-four thousand, six hundred forty".