803481845760 has 920 divisors, whose sum is σ = 3215587944096. Its totient is φ = 190253629440.

The previous prime is 803481845731. The next prime is 803481845773. The reversal of 803481845760 is 67548184308.

803481845760 is a `hidden beast` number, since 80 + 3 + 48 + 18 + 457 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 803481845697 and 803481845706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18685624299 + ... + 18685624341.

Almost surely, 2^803481845760 is an apocalyptic number.

803481845760 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 803481845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607793972048).

803481845760 is an abundant number, since it is smaller than the sum of its proper divisors (2412106098336).

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

803481845760 is an frugal number, since it uses more digits than its factorization.

803481845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 803481845760 in words is "eight hundred three billion, four hundred eighty-one million, eight hundred forty-five thousand, seven hundred sixty".