829734036480 has 1232 divisors, whose sum is σ = 3154800503808. Its totient is φ = 209018880000.

The previous prime is 829734036437. The next prime is 829734036557. The reversal of 829734036480 is 84630437928.

829734036480 is a `hidden beast` number, since 8 + 2 + 97 + 3 + 40 + 36 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8215188430 + ... + 8215188530.

Almost surely, 2^829734036480 is an apocalyptic number.

829734036480 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 829734036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577400251904).

829734036480 is an abundant number, since it is smaller than the sum of its proper divisors (2325066467328).

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

829734036480 is a wasteful number, since it uses less digits than its factorization.

829734036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 829734036480 in words is "eight hundred twenty-nine billion, seven hundred thirty-four million, thirty-six thousand, four hundred eighty".