7949093082528 has 96 divisors (see below), whose sum is σ = 22507897398336. Its totient is φ = 2441910417408.

The previous prime is 7949093082487. The next prime is 7949093082547. The reversal of 7949093082528 is 8252803909497.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4391626 + ... + 5931657.

It is an arithmetic number, because the mean of its divisors is an integer number (234457264566).

Almost surely, 2^{7949093082528} is an apocalyptic number.

7949093082528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7949093082528 is an abundant number, since it is smaller than the sum of its proper divisors (14558804315808).

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

7949093082528 is a wasteful number, since it uses less digits than its factorization.

7949093082528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323926 (or 10323918 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 7949093082528 in words is "seven trillion, nine hundred forty-nine billion, ninety-three million, eighty-two thousand, five hundred twenty-eight".