7488869832 has 96 divisors (see below), whose sum is σ = 20807280000. Its totient is φ = 2432164992.

The previous prime is 7488869813. The next prime is 7488869837. The reversal of 7488869832 is 2389688847.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7488869832.

It is not an unprimeable number, because it can be changed into a prime (7488869837) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 763294 + ... + 773042.

It is an arithmetic number, because the mean of its divisors is an integer number (216742500).

Almost surely, 2^7488869832 is an apocalyptic number.

7488869832 is a gapful number since it is divisible by the number (72) 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 7488869832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403640000).

7488869832 is an abundant number, since it is smaller than the sum of its proper divisors (13318410168).

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

7488869832 is a wasteful number, since it uses less digits than its factorization.

7488869832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10028 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 7488869832 is about 86538.2564649878. The cubic root of 7488869832 is about 1956.4650493214.

The spelling of 7488869832 in words is "seven billion, four hundred eighty-eight million, eight hundred sixty-nine thousand, eight hundred thirty-two".