6777497232 has 320 divisors, whose sum is σ = 21875742720. Its totient is φ = 1991692800.

The previous prime is 6777497213. The next prime is 6777497261. The reversal of 6777497232 is 2327947776.

6777497232 is a `hidden beast` number, since 67 + 77 + 497 + 23 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29856703 + ... + 29856929.

It is an arithmetic number, because the mean of its divisors is an integer number (68361696).

Almost surely, 2^6777497232 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 6777497232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10937871360).

6777497232 is an abundant number, since it is smaller than the sum of its proper divisors (15098245488).

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

6777497232 is a wasteful number, since it uses less digits than its factorization.

6777497232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The square root of 6777497232 is about 82325.5563722469. The cubic root of 6777497232 is about 1892.4443455425. Note that the first 3 decimals are identical.

The spelling of 6777497232 in words is "six billion, seven hundred seventy-seven million, four hundred ninety-seven thousand, two hundred thirty-two".