9258420864 has 512 divisors, whose sum is σ = 32952821760. Its totient is φ = 2229534720.

The previous prime is 9258420841. The next prime is 9258420887. The reversal of 9258420864 is 4680248529.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9258420841) and next prime (9258420887).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56800047 + ... + 56800209.

It is an arithmetic number, because the mean of its divisors is an integer number (64360980).

Almost surely, 2^9258420864 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 9258420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476410880).

9258420864 is an abundant number, since it is smaller than the sum of its proper divisors (23694400896).

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

9258420864 is a wasteful number, since it uses less digits than its factorization.

9258420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 9258420864 is about 96220.6883367605. The cubic root of 9258420864 is about 2099.8050358683.

The spelling of 9258420864 in words is "nine billion, two hundred fifty-eight million, four hundred twenty thousand, eight hundred sixty-four".