8362932480 has 864 divisors, whose sum is σ = 35998470144. Its totient is φ = 1817468928.

The previous prime is 8362932469. The next prime is 8362932481. The reversal of 8362932480 is 842392638.

8362932480 is a `hidden beast` number, since 83 + 6 + 2 + 93 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8362932481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50077357 + ... + 50077523.

It is an arithmetic number, because the mean of its divisors is an integer number (41664896).

Almost surely, 2^8362932480 is an apocalyptic number.

8362932480 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 8362932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999235072).

8362932480 is an abundant number, since it is smaller than the sum of its proper divisors (27635537664).

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

8362932480 is a wasteful number, since it uses less digits than its factorization.

8362932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8362932480 is about 91449.0704162705. The cubic root of 8362932480 is about 2029.7982020116.

The spelling of 8362932480 in words is "eight billion, three hundred sixty-two million, nine hundred thirty-two thousand, four hundred eighty".