36845867520 has 1920 divisors, whose sum is σ = 177340078080. Its totient is φ = 7153090560.

The previous prime is 36845867483. The next prime is 36845867533. The reversal of 36845867520 is 2576854863.

36845867520 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 58 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 856880619 + ... + 856880661.

It is an arithmetic number, because the mean of its divisors is an integer number (92364624).

Almost surely, 2^36845867520 is an apocalyptic number.

36845867520 is a gapful number since it is divisible by the number (30) 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 36845867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88670039040).

36845867520 is an abundant number, since it is smaller than the sum of its proper divisors (140494210560).

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

36845867520 is a wasteful number, since it uses less digits than its factorization.

36845867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 36845867520 in words is "thirty-six billion, eight hundred forty-five million, eight hundred sixty-seven thousand, five hundred twenty".