9670256640 has 288 divisors, whose sum is σ = 36566056800. Its totient is φ = 2344058880.

The previous prime is 9670256623. The next prime is 9670256671. The reversal of 9670256640 is 466520769.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008991 + ... + 1018529.

It is an arithmetic number, because the mean of its divisors is an integer number (126965475).

Almost surely, 2^9670256640 is an apocalyptic number.

9670256640 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 9670256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283028400).

9670256640 is an abundant number, since it is smaller than the sum of its proper divisors (26895800160).

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

9670256640 is a wasteful number, since it uses less digits than its factorization.

9670256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9670256640 is about 98337.4630545246. The cubic root of 9670256640 is about 2130.4891820966.

The spelling of 9670256640 in words is "nine billion, six hundred seventy million, two hundred fifty-six thousand, six hundred forty".