4001766537636 has 384 divisors, whose sum is σ = 12268464768000. Its totient is φ = 1118258099712.

The previous prime is 4001766537551. The next prime is 4001766537647. The reversal of 4001766537636 is 6367356671004.

It is a happy number.

4001766537636 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 76 + 6 + 537 + 6 + 36 = 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 127 ways as a sum of consecutive naturals, for example, 1132680526 + ... + 1132684058.

It is an arithmetic number, because the mean of its divisors is an integer number (31949127000).

Almost surely, 2^{4001766537636} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001766537636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134232384000).

4001766537636 is an abundant number, since it is smaller than the sum of its proper divisors (8266698230364).

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

4001766537636 is a wasteful number, since it uses less digits than its factorization.

4001766537636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 4001766537636 in words is "four trillion, one billion, seven hundred sixty-six million, five hundred thirty-seven thousand, six hundred thirty-six".