6269028661440 has 448 divisors, whose sum is σ = 22227422469120. Its totient is φ = 1663315845120.

The previous prime is 6269028661439. The next prime is 6269028661447. The reversal of 6269028661440 is 441668209626.

6269028661440 is a `hidden beast` number, since 6 + 2 + 69 + 0 + 2 + 86 + 61 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6269028661447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2933564052 + ... + 2933566188.

Almost surely, 2^{6269028661440} is an apocalyptic number.

6269028661440 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 6269028661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113711234560).

6269028661440 is an abundant number, since it is smaller than the sum of its proper divisors (15958393807680).

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

6269028661440 is a wasteful number, since it uses less digits than its factorization.

6269028661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6269028661440 in words is "six trillion, two hundred sixty-nine billion, twenty-eight million, six hundred sixty-one thousand, four hundred forty".