36442407773772 has 1920 divisors, whose sum is σ = 141459071846400. Its totient is φ = 8029669294080.

The previous prime is 36442407773767. The next prime is 36442407773777. The reversal of 36442407773772 is 27737770424463.

36442407773772 is a `hidden beast` number, since 3 + 6 + 4 + 424 + 0 + 77 + 73 + 7 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (36442407773767) and next prime (36442407773777).

It is a super-2 number, since 2×36442407773772² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36442407773777) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 11616959788 + ... + 11616962924.

It is an arithmetic number, because the mean of its divisors is an integer number (73676599920).

Almost surely, 2^{36442407773772} 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 36442407773772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70729535923200).

36442407773772 is an abundant number, since it is smaller than the sum of its proper divisors (105016664072628).

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

36442407773772 is a wasteful number, since it uses less digits than its factorization.

36442407773772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 232339968, while the sum is 63.

The spelling of 36442407773772 in words is "thirty-six trillion, four hundred forty-two billion, four hundred seven million, seven hundred seventy-three thousand, seven hundred seventy-two".