36060632263872 has 1120 divisors, whose sum is σ = 118288586465280. Its totient is φ = 10820847697920.

The previous prime is 36060632263823. The next prime is 36060632263883. The reversal of 36060632263872 is 27836223606063.

36060632263872 is a `hidden beast` number, since 3 + 6 + 0 + 606 + 3 + 2 + 26 + 3 + 8 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59407960593 + ... + 59407961199.

It is an arithmetic number, because the mean of its divisors is an integer number (105614809344).

Almost surely, 2^{36060632263872} is an apocalyptic number.

36060632263872 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 36060632263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59144293232640).

36060632263872 is an abundant number, since it is smaller than the sum of its proper divisors (82227954201408).

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

36060632263872 is a wasteful number, since it uses less digits than its factorization.

36060632263872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 36060632263872 in words is "thirty-six trillion, sixty billion, six hundred thirty-two million, two hundred sixty-three thousand, eight hundred seventy-two".