815634432480 has 192 divisors, whose sum is σ = 2940298679808. Its totient is φ = 186175825920.

The previous prime is 815634432469. The next prime is 815634432491. The reversal of 815634432480 is 84234436518.

It is an interprime number because it is at equal distance from previous prime (815634432469) and next prime (815634432491).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297295 + ... + 2628465.

It is an arithmetic number, because the mean of its divisors is an integer number (15314055624).

Almost surely, 2^815634432480 is an apocalyptic number.

815634432480 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 815634432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470149339904).

815634432480 is an abundant number, since it is smaller than the sum of its proper divisors (2124664247328).

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

815634432480 is a wasteful number, since it uses less digits than its factorization.

815634432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331929 (or 331921 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

Adding to 815634432480 its reverse (84234436518), we get a palindrome (899868868998).

The spelling of 815634432480 in words is "eight hundred fifteen billion, six hundred thirty-four million, four hundred thirty-two thousand, four hundred eighty".