8440692480 has 432 divisors, whose sum is σ = 33052166784. Its totient is φ = 2045399040.

The previous prime is 8440692479. The next prime is 8440692517. The reversal of 8440692480 is 842960448.

8440692480 is a `hidden beast` number, since 84 + 4 + 0 + 6 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 3420207 + ... + 3422673.

Almost surely, 2^8440692480 is an apocalyptic number.

8440692480 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 8440692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526083392).

8440692480 is an abundant number, since it is smaller than the sum of its proper divisors (24611474304).

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

8440692480 is a wasteful number, since it uses less digits than its factorization.

8440692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8440692480 is about 91873.2413709237. The cubic root of 8440692480 is about 2036.0699422606.

The spelling of 8440692480 in words is "eight billion, four hundred forty million, six hundred ninety-two thousand, four hundred eighty".