9487964160 has 672 divisors, whose sum is σ = 36093133440. Its totient is φ = 2388787200.

The previous prime is 9487964153. The next prime is 9487964177. The reversal of 9487964160 is 614697849.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 9487964097 and 9487964106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 231413740 + ... + 231413780.

It is an arithmetic number, because the mean of its divisors is an integer number (53710020).

Almost surely, 2^9487964160 is an apocalyptic number.

9487964160 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 9487964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18046566720).

9487964160 is an abundant number, since it is smaller than the sum of its proper divisors (26605169280).

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

9487964160 is an equidigital number, since it uses as much as digits as its factorization.

9487964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9487964160 is about 97406.1813233637. The cubic root of 9487964160 is about 2117.0169984400.

The spelling of 9487964160 in words is "nine billion, four hundred eighty-seven million, nine hundred sixty-four thousand, one hundred sixty".