803615604480 has 324 divisors, whose sum is σ = 3010764746808. Its totient is φ = 197812592640.

The previous prime is 803615604409. The next prime is 803615604521. The reversal of 803615604480 is 84406516308.

803615604480 is a `hidden beast` number, since 8 + 0 + 3 + 6 + 1 + 560 + 4 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1740495 + ... + 2153265.

Almost surely, 2^803615604480 is an apocalyptic number.

803615604480 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 803615604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505382373404).

803615604480 is an abundant number, since it is smaller than the sum of its proper divisors (2207149142328).

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

803615604480 is a wasteful number, since it uses less digits than its factorization.

803615604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412824 (or 412794 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 803615604480 in words is "eight hundred three billion, six hundred fifteen million, six hundred four thousand, four hundred eighty".