6774625440 has 432 divisors, whose sum is σ = 25881055200. Its totient is φ = 1612047360.

The previous prime is 6774625387. The next prime is 6774625441. The reversal of 6774625440 is 445264776.

6774625440 is a `hidden beast` number, since 67 + 7 + 46 + 2 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6774625441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10279831 + ... + 10280489.

It is an arithmetic number, because the mean of its divisors is an integer number (59909850).

Almost surely, 2^6774625440 is an apocalyptic number.

6774625440 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 6774625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940527600).

6774625440 is an abundant number, since it is smaller than the sum of its proper divisors (19106429760).

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

6774625440 is a wasteful number, since it uses less digits than its factorization.

6774625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 6774625440 is about 82308.1128443606. The cubic root of 6774625440 is about 1892.1770160681.

The spelling of 6774625440 in words is "six billion, seven hundred seventy-four million, six hundred twenty-five thousand, four hundred forty".