8327975040 has 768 divisors, whose sum is σ = 37116576000. Its totient is φ = 1727447040.

The previous prime is 8327975023. The next prime is 8327975057. The reversal of 8327975040 is 405797238.

It is an interprime number because it is at equal distance from previous prime (8327975023) and next prime (8327975057).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14635876 + ... + 14636444.

It is an arithmetic number, because the mean of its divisors is an integer number (48328875).

Almost surely, 2^8327975040 is an apocalyptic number.

8327975040 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 8327975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18558288000).

8327975040 is an abundant number, since it is smaller than the sum of its proper divisors (28788600960).

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

8327975040 is a wasteful number, since it uses less digits than its factorization.

8327975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 8327975040 is about 91257.7396169771. The cubic root of 8327975040 is about 2026.9660357242.

The spelling of 8327975040 in words is "eight billion, three hundred twenty-seven million, nine hundred seventy-five thousand, forty".