8050613760 has 480 divisors, whose sum is σ = 33279253920. Its totient is φ = 1839366144.

The previous prime is 8050613743. The next prime is 8050613803. The reversal of 8050613760 is 673160508.

8050613760 is a `hidden beast` number, since 80 + 506 + 1 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385692 + ... + 3388068.

It is an arithmetic number, because the mean of its divisors is an integer number (69331779).

Almost surely, 2^8050613760 is an apocalyptic number.

8050613760 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 8050613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639626960).

8050613760 is an abundant number, since it is smaller than the sum of its proper divisors (25228640160).

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

8050613760 is a wasteful number, since it uses less digits than its factorization.

8050613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8050613760 is about 89725.2125101969. The cubic root of 8050613760 is about 2004.2089494919.

The spelling of 8050613760 in words is "eight billion, fifty million, six hundred thirteen thousand, seven hundred sixty".