5406672768 has 256 divisors, whose sum is σ = 17384716800. Its totient is φ = 1455906816.

The previous prime is 5406672763. The next prime is 5406672773. The reversal of 5406672768 is 8672766045.

It is an interprime number because it is at equal distance from previous prime (5406672763) and next prime (5406672773).

It is a super-2 number, since 2×5406672768² = 58464220840465563648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5406672768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406672763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3351130 + ... + 3352742.

It is an arithmetic number, because the mean of its divisors is an integer number (67909050).

Almost surely, 2^5406672768 is an apocalyptic number.

5406672768 is a gapful number since it is divisible by the number (58) 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 5406672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8692358400).

5406672768 is an abundant number, since it is smaller than the sum of its proper divisors (11978044032).

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

5406672768 is a wasteful number, since it uses less digits than its factorization.

5406672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 5406672768 is about 73530.0807017101. The cubic root of 5406672768 is about 1755.1329859211.

The spelling of 5406672768 in words is "five billion, four hundred six million, six hundred seventy-two thousand, seven hundred sixty-eight".