7491493152 has 144 divisors (see below), whose sum is σ = 25028535168. Its totient is φ = 2095511040.

The previous prime is 7491493151. The next prime is 7491493181. The reversal of 7491493152 is 2513941947.

7491493152 is a `hidden beast` number, since 7 + 4 + 9 + 1 + 493 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7491493152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7491493098 and 7491493107.

It is not an unprimeable number, because it can be changed into a prime (7491493151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49768 + ... + 132135.

It is an arithmetic number, because the mean of its divisors is an integer number (173809272).

Almost surely, 2^7491493152 is an apocalyptic number.

7491493152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7491493152 is an abundant number, since it is smaller than the sum of its proper divisors (17537042016).

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

7491493152 is a wasteful number, since it uses less digits than its factorization.

7491493152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181943 (or 181932 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 7491493152 is about 86553.4121337801. The cubic root of 7491493152 is about 1956.6934698457.

The spelling of 7491493152 in words is "seven billion, four hundred ninety-one million, four hundred ninety-three thousand, one hundred fifty-two".