5370766128 has 480 divisors, whose sum is σ = 20008094400. Its totient is φ = 1365590016.

The previous prime is 5370766127. The next prime is 5370766129. The reversal of 5370766128 is 8216670735.

It is an interprime number because it is at equal distance from previous prime (5370766127) and next prime (5370766129).

It is a super-2 number, since 2×5370766128² = 57690257603344224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5370766127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7980000 + ... + 7980672.

It is an arithmetic number, because the mean of its divisors is an integer number (41683530).

Almost surely, 2^5370766128 is an apocalyptic number.

5370766128 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 5370766128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004047200).

5370766128 is an abundant number, since it is smaller than the sum of its proper divisors (14637328272).

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

5370766128 is a wasteful number, since it uses less digits than its factorization.

5370766128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5370766128 is about 73285.5110373121. The cubic root of 5370766128 is about 1751.2389732855.

The spelling of 5370766128 in words is "five billion, three hundred seventy million, seven hundred sixty-six thousand, one hundred twenty-eight".