8380477440 has 312 divisors, whose sum is σ = 30590436240. Its totient is φ = 2116288512.

The previous prime is 8380477429. The next prime is 8380477487. The reversal of 8380477440 is 447740838.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3500884 + ... + 3503276.

It is an arithmetic number, because the mean of its divisors is an integer number (98046270).

Almost surely, 2^8380477440 is an apocalyptic number.

8380477440 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 8380477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295218120).

8380477440 is an abundant number, since it is smaller than the sum of its proper divisors (22209958800).

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

8380477440 is a wasteful number, since it uses less digits than its factorization.

8380477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 8380477440 is about 91544.9476486824. The cubic root of 8380477440 is about 2031.2166778407.

The spelling of 8380477440 in words is "eight billion, three hundred eighty million, four hundred seventy-seven thousand, four hundred forty".