7481935872 has 192 divisors, whose sum is σ = 22289904000. Its totient is φ = 2479767552.

The previous prime is 7481935847. The next prime is 7481935883. The reversal of 7481935872 is 2785391847.

It is a happy number.

7481935872 is a `hidden beast` number, since 7 + 48 + 19 + 3 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14874373 + ... + 14874875.

It is an arithmetic number, because the mean of its divisors is an integer number (116093250).

Almost surely, 2^7481935872 is an apocalyptic number.

7481935872 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 7481935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

7481935872 is an abundant number, since it is smaller than the sum of its proper divisors (14807968128).

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

7481935872 is a wasteful number, since it uses less digits than its factorization.

7481935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 777 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 7481935872 is about 86498.1842121556. The cubic root of 7481935872 is about 1955.8610311897.

The spelling of 7481935872 in words is "seven billion, four hundred eighty-one million, nine hundred thirty-five thousand, eight hundred seventy-two".