9461292672 has 128 divisors (see below), whose sum is σ = 27319239360. Its totient is φ = 2883796992.

The previous prime is 9461292671. The next prime is 9461292697. The reversal of 9461292672 is 2762921649.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) 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 (48).

It is not an unprimeable number, because it can be changed into a prime (9461292671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525288 + ... + 543000.

Almost surely, 2^9461292672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9461292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659619680).

9461292672 is an abundant number, since it is smaller than the sum of its proper divisors (17857946688).

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

9461292672 is a wasteful number, since it uses less digits than its factorization.

9461292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17850 (or 17838 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 9461292672 is about 97269.1763715515. The cubic root of 9461292672 is about 2115.0314307710.

The spelling of 9461292672 in words is "nine billion, four hundred sixty-one million, two hundred ninety-two thousand, six hundred seventy-two".