8474760000 has 1120 divisors, whose sum is σ = 38087808000. Its totient is φ = 1804032000.

The previous prime is 8474759999. The next prime is 8474760011. The reversal of 8474760000 is 674748.

8474760000 = 146³ + 147³ + ... + 430³.

It is a happy number.

8474760000 is a `hidden beast` number, since 8 + 4 + 7 + 47 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143639971 + ... + 143640029.

Almost surely, 2^8474760000 is an apocalyptic number.

8474760000 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 8474760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043904000).

8474760000 is an abundant number, since it is smaller than the sum of its proper divisors (29613048000).

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

8474760000 is a wasteful number, since it uses less digits than its factorization.

8474760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 8474760000 is about 92058.4596873096. The cubic root of 8474760000 is about 2038.8055291177.

The spelling of 8474760000 in words is "eight billion, four hundred seventy-four million, seven hundred sixty thousand".