7959154452480 has 2880 divisors, whose sum is σ = 38148675364800. Its totient is φ = 1565133373440.

The previous prime is 7959154452449. The next prime is 7959154452521. The reversal of 7959154452480 is 842544519597.

7959154452480 is a `hidden beast` number, since 7 + 9 + 5 + 9 + 1 + 544 + 5 + 2 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8494294572 + ... + 8494295508.

It is an arithmetic number, because the mean of its divisors is an integer number (13246067835).

Almost surely, 2^{7959154452480} is an apocalyptic number.

7959154452480 is a gapful number since it is divisible by the number (70) 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 7959154452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19074337682400).

7959154452480 is an abundant number, since it is smaller than the sum of its proper divisors (30189520912320).

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

7959154452480 is a wasteful number, since it uses less digits than its factorization.

7959154452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 7959154452480 in words is "seven trillion, nine hundred fifty-nine billion, one hundred fifty-four million, four hundred fifty-two thousand, four hundred eighty".