6274765484064 has 720 divisors, whose sum is σ = 23232976417728. Its totient is φ = 1626210432000.

The previous prime is 6274765484033. The next prime is 6274765484147. The reversal of 6274765484064 is 4604845674726.

6274765484064 is a `hidden beast` number, since 6 + 2 + 7 + 47 + 6 + 548 + 40 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 6274765483992 and 6274765484010.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1077950274 + ... + 1077956094.

Almost surely, 2^{6274765484064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6274765484064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616488208864).

6274765484064 is an abundant number, since it is smaller than the sum of its proper divisors (16958210933664).

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

6274765484064 is a wasteful number, since it uses less digits than its factorization.

6274765484064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 6274765484064 in words is "six trillion, two hundred seventy-four billion, seven hundred sixty-five million, four hundred eighty-four thousand, sixty-four".