9079151761680 has 2880 divisors, whose sum is σ = 41616760356864. Its totient is φ = 1591380172800.

The previous prime is 9079151761643. The next prime is 9079151761681. The reversal of 9079151761680 is 861671519709.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9079151761681) 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 575 ways as a sum of consecutive naturals, for example, 29573784087 + ... + 29573784393.

Almost surely, 2^{9079151761680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9079151761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808380178432).

9079151761680 is an abundant number, since it is smaller than the sum of its proper divisors (32537608595184).

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

9079151761680 is a wasteful number, since it uses less digits than its factorization.

9079151761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 60.

The spelling of 9079151761680 in words is "nine trillion, seventy-nine billion, one hundred fifty-one million, seven hundred sixty-one thousand, six hundred eighty".