9846476640 has 1728 divisors, whose sum is σ = 49189690368. Its totient is φ = 1806520320.

The previous prime is 9846476621. The next prime is 9846476659. The reversal of 9846476640 is 466746489.

9846476640 is a `hidden beast` number, since 98 + 46 + 476 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (9846476621) and next prime (9846476659).

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 287 ways as a sum of consecutive naturals, for example, 428107669 + ... + 428107691.

It is an arithmetic number, because the mean of its divisors is an integer number (28466256).

Almost surely, 2^9846476640 is an apocalyptic number.

9846476640 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 9846476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24594845184).

9846476640 is an abundant number, since it is smaller than the sum of its proper divisors (39343213728).

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

9846476640 is a wasteful number, since it uses less digits than its factorization.

9846476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 9846476640 is about 99229.4141875281. The cubic root of 9846476640 is about 2143.3525812150.

The spelling of 9846476640 in words is "nine billion, eight hundred forty-six million, four hundred seventy-six thousand, six hundred forty".