8379047040 has 1152 divisors, whose sum is σ = 36770526720. Its totient is φ = 1610219520.

The previous prime is 8379047029. The next prime is 8379047069. The reversal of 8379047040 is 407409738.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8379046983 and 8379047001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270291825 + ... + 270291855.

It is an arithmetic number, because the mean of its divisors is an integer number (31918860).

Almost surely, 2^8379047040 is an apocalyptic number.

8379047040 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 8379047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385263360).

8379047040 is an abundant number, since it is smaller than the sum of its proper divisors (28391479680).

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

8379047040 is a wasteful number, since it uses less digits than its factorization.

8379047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 8379047040 is about 91537.1347596155. The cubic root of 8379047040 is about 2031.1011069529.

The spelling of 8379047040 in words is "eight billion, three hundred seventy-nine million, forty-seven thousand, forty".