9476628480 has 896 divisors, whose sum is σ = 39633753600. Its totient is φ = 2123366400.

The previous prime is 9476628463. The next prime is 9476628503. The reversal of 9476628480 is 848266749.

9476628480 is a `hidden beast` number, since 9 + 4 + 7 + 6 + 628 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×9476628480² (a number of 21 digits) contains 22 as substring.

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

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, 231137260 + ... + 231137300.

It is an arithmetic number, because the mean of its divisors is an integer number (44234100).

Almost surely, 2^9476628480 is an apocalyptic number.

9476628480 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 9476628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19816876800).

9476628480 is an abundant number, since it is smaller than the sum of its proper divisors (30157125120).

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

9476628480 is a wasteful number, since it uses less digits than its factorization.

9476628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 9476628480 is about 97347.9762501512. The cubic root of 9476628480 is about 2116.1735652836.

The spelling of 9476628480 in words is "nine billion, four hundred seventy-six million, six hundred twenty-eight thousand, four hundred eighty".