7486728760 has 32 divisors (see below), whose sum is σ = 19251588960. Its totient is φ = 2566878336.

The previous prime is 7486728757. The next prime is 7486728791. The reversal of 7486728760 is 678276847.

It is a happy number.

It is a super-2 number, since 2×7486728760² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13368879 + ... + 13369438.

It is an arithmetic number, because the mean of its divisors is an integer number (601612155).

Almost surely, 2^7486728760 is an apocalyptic number.

7486728760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7486728760 is an abundant number, since it is smaller than the sum of its proper divisors (11764860200).

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

7486728760 is a wasteful number, since it uses less digits than its factorization.

7486728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738335 (or 26738331 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The square root of 7486728760 is about 86525.8849131287. The cubic root of 7486728760 is about 1956.2785800722.

The spelling of 7486728760 in words is "seven billion, four hundred eighty-six million, seven hundred twenty-eight thousand, seven hundred sixty".