6734762496 has 960 divisors, whose sum is σ = 27168261120. Its totient is φ = 1612431360.

The previous prime is 6734762453. The next prime is 6734762501. The reversal of 6734762496 is 6942674376.

6734762496 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 7 + 624 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182020590 + ... + 182020626.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 2^6734762496 is an apocalyptic number.

6734762496 is a gapful number since it is divisible by the number (66) 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 6734762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584130560).

6734762496 is an abundant number, since it is smaller than the sum of its proper divisors (20433498624).

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

6734762496 is a wasteful number, since it uses less digits than its factorization.

6734762496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 6734762496 is about 82065.5987366205. The cubic root of 6734762496 is about 1888.4584254996.

The spelling of 6734762496 in words is "six billion, seven hundred thirty-four million, seven hundred sixty-two thousand, four hundred ninety-six".