9506954076480 has 896 divisors, whose sum is σ = 39070196444160. Its totient is φ = 2131435192320.

The previous prime is 9506954076463. The next prime is 9506954076493. The reversal of 9506954076480 is 846704596059.

9506954076480 is a `hidden beast` number, since 9 + 5 + 0 + 6 + 9 + 540 + 7 + 6 + 4 + 80 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 662914110 + ... + 662928450.

It is an arithmetic number, because the mean of its divisors is an integer number (43605129960).

Almost surely, 2^{9506954076480} is an apocalyptic number.

9506954076480 is a gapful number since it is divisible by the number (90) 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 9506954076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535098222080).

9506954076480 is an abundant number, since it is smaller than the sum of its proper divisors (29563242367680).

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

9506954076480 is a wasteful number, since it uses less digits than its factorization.

9506954076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14584 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 9506954076480 in words is "nine trillion, five hundred six billion, nine hundred fifty-four million, seventy-six thousand, four hundred eighty".