9507479385456 has 320 divisors, whose sum is σ = 29698424179200. Its totient is φ = 2894686212096.

The previous prime is 9507479385427. The next prime is 9507479385479. The reversal of 9507479385456 is 6545839747059.

9507479385456 is a `hidden beast` number, since 9 + 5 + 0 + 7 + 4 + 7 + 93 + 85 + 456 = 666.

9507479385456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392810251 + ... + 392834453.

It is an arithmetic number, because the mean of its divisors is an integer number (92807575560).

Almost surely, 2^{9507479385456} 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 9507479385456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849212089600).

9507479385456 is an abundant number, since it is smaller than the sum of its proper divisors (20190944793744).

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

9507479385456 is a wasteful number, since it uses less digits than its factorization.

9507479385456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24965 (or 24953 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 9507479385456 in words is "nine trillion, five hundred seven billion, four hundred seventy-nine million, three hundred eighty-five thousand, four hundred fifty-six".