36765717473952 has 288 divisors, whose sum is σ = 109034270392320. Its totient is φ = 12186479082240.

The previous prime is 36765717473911. The next prime is 36765717473977. The reversal of 36765717473952 is 25937471756763.

36765717473952 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 57 + 17 + 473 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1593578577 + ... + 1593601647.

It is an arithmetic number, because the mean of its divisors is an integer number (378591216640).

Almost surely, 2^{36765717473952} is an apocalyptic number.

36765717473952 is a gapful number since it is divisible by the number (32) 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 36765717473952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54517135196160).

36765717473952 is an abundant number, since it is smaller than the sum of its proper divisors (72268552918368).

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

36765717473952 is a wasteful number, since it uses less digits than its factorization.

36765717473952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24238 (or 24218 counting only the distinct ones).

The product of its digits is 1400263200, while the sum is 72.

The spelling of 36765717473952 in words is "thirty-six trillion, seven hundred sixty-five billion, seven hundred seventeen million, four hundred seventy-three thousand, nine hundred fifty-two".