36777898579968 has 1152 divisors, whose sum is σ = 134203714444800. Its totient is φ = 9443714531328.

The previous prime is 36777898579967. The next prime is 36777898579997. The reversal of 36777898579968 is 86997589877763.

36777898579968 is a `hidden beast` number, since 367 + 7 + 7 + 8 + 9 + 85 + 79 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×36777898579968² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36777898579967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30220129696 + ... + 30220130912.

It is an arithmetic number, because the mean of its divisors is an integer number (116496279900).

Almost surely, 2^{36777898579968} 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 36777898579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67101857222400).

36777898579968 is an abundant number, since it is smaller than the sum of its proper divisors (97425815864832).

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

36777898579968 is a wasteful number, since it uses less digits than its factorization.

36777898579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1704 counting only the distinct ones).

The product of its digits is 483930961920, while the sum is 99.

The spelling of 36777898579968 in words is "thirty-six trillion, seven hundred seventy-seven billion, eight hundred ninety-eight million, five hundred seventy-nine thousand, nine hundred sixty-eight".