36679547520 has 896 divisors, whose sum is σ = 164071716480. Its totient is φ = 7614259200.

The previous prime is 36679547501. The next prime is 36679547591. The reversal of 36679547520 is 2574597663.

36679547520 is a `hidden beast` number, since 3 + 6 + 6 + 79 + 5 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35924610 + ... + 35925630.

It is an arithmetic number, because the mean of its divisors is an integer number (183115755).

Almost surely, 2^36679547520 is an apocalyptic number.

36679547520 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 36679547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82035858240).

36679547520 is an abundant number, since it is smaller than the sum of its proper divisors (127392168960).

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

36679547520 is a wasteful number, since it uses less digits than its factorization.

36679547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 36679547520 in words is "thirty-six billion, six hundred seventy-nine million, five hundred forty-seven thousand, five hundred twenty".