803764031616 has 1152 divisors, whose sum is σ = 3039847574400. Its totient is φ = 209520525312.

The previous prime is 803764031579. The next prime is 803764031617. The reversal of 803764031616 is 616130467308.

803764031616 is a `hidden beast` number, since 80 + 3 + 7 + 6 + 403 + 161 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (803764031617) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2238896845 + ... + 2238897203.

It is an arithmetic number, because the mean of its divisors is an integer number (2638756575).

Almost surely, 2^803764031616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803764031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519923787200).

803764031616 is an abundant number, since it is smaller than the sum of its proper divisors (2236083542784).

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

803764031616 is a wasteful number, since it uses less digits than its factorization.

803764031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 803764031616 in words is "eight hundred three billion, seven hundred sixty-four million, thirty-one thousand, six hundred sixteen".