801345357360 has 480 divisors, whose sum is σ = 2941744216320. Its totient is φ = 202169779200.

The previous prime is 801345357353. The next prime is 801345357367. The reversal of 801345357360 is 63753543108.

801345357360 is a `hidden beast` number, since 8 + 0 + 13 + 4 + 5 + 3 + 573 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (801345357353) and next prime (801345357367).

It is a super-2 number, since 2×801345357360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (801345357367) 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, 510085375 + ... + 510086945.

It is an arithmetic number, because the mean of its divisors is an integer number (6128633784).

Almost surely, 2^801345357360 is an apocalyptic number.

801345357360 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 801345357360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470872108160).

801345357360 is an abundant number, since it is smaller than the sum of its proper divisors (2140398858960).

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

801345357360 is a wasteful number, since it uses less digits than its factorization.

801345357360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 801345357360 in words is "eight hundred one billion, three hundred forty-five million, three hundred fifty-seven thousand, three hundred sixty".