8274745920 has 448 divisors, whose sum is σ = 32123091456. Its totient is φ = 1761607680.

The previous prime is 8274745909. The next prime is 8274745931. The reversal of 8274745920 is 295474728.

It is an interprime number because it is at equal distance from previous prime (8274745909) and next prime (8274745931).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8274745920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12908800 + ... + 12909440.

Almost surely, 2^8274745920 is an apocalyptic number.

8274745920 is a gapful number since it is divisible by the number (80) 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 8274745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061545728).

8274745920 is an abundant number, since it is smaller than the sum of its proper divisors (23848345536).

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

8274745920 is a wasteful number, since it uses less digits than its factorization.

8274745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 8274745920 is about 90965.6304325980. The cubic root of 8274745920 is about 2022.6382806307.

The spelling of 8274745920 in words is "eight billion, two hundred seventy-four million, seven hundred forty-five thousand, nine hundred twenty".