9264770016480 has 768 divisors, whose sum is σ = 36447847188480. Its totient is φ = 2178872524800.

The previous prime is 9264770016457. The next prime is 9264770016487. The reversal of 9264770016480 is 846100774629.

9264770016480 is a `hidden beast` number, since 9 + 2 + 6 + 477 + 0 + 0 + 164 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9264770016487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211584669 + ... + 211628451.

It is an arithmetic number, because the mean of its divisors is an integer number (47458134360).

Almost surely, 2^{9264770016480} is an apocalyptic number.

9264770016480 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 9264770016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18223923594240).

9264770016480 is an abundant number, since it is smaller than the sum of its proper divisors (27183077172000).

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

9264770016480 is a wasteful number, since it uses less digits than its factorization.

9264770016480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43952 (or 43938 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 9264770016480 in words is "nine trillion, two hundred sixty-four billion, seven hundred seventy million, sixteen thousand, four hundred eighty".