820410624607 has 16 divisors (see below), whose sum is σ = 938797056000. Its totient is φ = 702320794560.

The previous prime is 820410624601. The next prime is 820410624613. The reversal of 820410624607 is 706426014028.

It is a happy number.

820410624607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820410624601) and next prime (820410624613).

It is not a de Polignac number, because 820410624607 - 2³ = 820410624599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820410624607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820410624601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32237394 + ... + 32262832.

It is an arithmetic number, because the mean of its divisors is an integer number (58674816000).

Almost surely, 2^820410624607 is an apocalyptic number.

820410624607 is a deficient number, since it is larger than the sum of its proper divisors (118386431393).

820410624607 is a wasteful number, since it uses less digits than its factorization.

820410624607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31086.

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 820410624607 in words is "eight hundred twenty billion, four hundred ten million, six hundred twenty-four thousand, six hundred seven".