803598349680 has 1200 divisors, whose sum is σ = 3383316177120. Its totient is φ = 176047312896.

The previous prime is 803598349637. The next prime is 803598349717. The reversal of 803598349680 is 86943895308.

803598349680 is a `hidden beast` number, since 8 + 0 + 3 + 598 + 34 + 9 + 6 + 8 + 0 = 666.

803598349680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×803598349680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1813991539 + ... + 1813991981.

Almost surely, 2^803598349680 is an apocalyptic number.

803598349680 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 803598349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691658088560).

803598349680 is an abundant number, since it is smaller than the sum of its proper divisors (2579717827440).

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

803598349680 is a wasteful number, since it uses less digits than its factorization.

803598349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 803598349680 in words is "eight hundred three billion, five hundred ninety-eight million, three hundred forty-nine thousand, six hundred eighty".