6774253920 has 864 divisors, whose sum is σ = 29399086080. Its totient is φ = 1410877440.

The previous prime is 6774253907. The next prime is 6774253931. The reversal of 6774253920 is 293524776.

6774253920 is a `hidden beast` number, since 6 + 77 + 42 + 539 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41559759 + ... + 41559921.

It is an arithmetic number, because the mean of its divisors is an integer number (34026720).

Almost surely, 2^6774253920 is an apocalyptic number.

6774253920 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 6774253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699543040).

6774253920 is an abundant number, since it is smaller than the sum of its proper divisors (22624832160).

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

6774253920 is a wasteful number, since it uses less digits than its factorization.

6774253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6774253920 is about 82305.8559277528. The cubic root of 6774253920 is about 1892.1424264826.

The spelling of 6774253920 in words is "six billion, seven hundred seventy-four million, two hundred fifty-three thousand, nine hundred twenty".