820607129472 has 512 divisors, whose sum is σ = 2587724496000. Its totient is φ = 229331042304.

The previous prime is 820607129467. The next prime is 820607129497. The reversal of 820607129472 is 274921706028.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 415917478 + ... + 415919450.

Almost surely, 2^820607129472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820607129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293862248000).

820607129472 is an abundant number, since it is smaller than the sum of its proper divisors (1767117366528).

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

820607129472 is a wasteful number, since it uses less digits than its factorization.

820607129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 820607129472 in words is "eight hundred twenty billion, six hundred seven million, one hundred twenty-nine thousand, four hundred seventy-two".