802426164960 has 576 divisors, whose sum is σ = 2991538303488. Its totient is φ = 177019994112.

The previous prime is 802426164857. The next prime is 802426164961. The reversal of 802426164960 is 69461624208.

802426164960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802426164961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3443889004 + ... + 3443889236.

It is an arithmetic number, because the mean of its divisors is an integer number (5193642888).

Almost surely, 2^802426164960 is an apocalyptic number.

802426164960 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 802426164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495769151744).

802426164960 is an abundant number, since it is smaller than the sum of its proper divisors (2189112138528).

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

802426164960 is a wasteful number, since it uses less digits than its factorization.

802426164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 802426164960 in words is "eight hundred two billion, four hundred twenty-six million, one hundred sixty-four thousand, nine hundred sixty".