36019681920 has 192 divisors, whose sum is σ = 126728339400. Its totient is φ = 9423937536.

The previous prime is 36019681879. The next prime is 36019681979. The reversal of 36019681920 is 2918691063.

It is a happy number.

36019681920 is a `hidden beast` number, since 3 + 601 + 9 + 6 + 8 + 19 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29636311104 + 6383370816 = 172152^2 + 79896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246286 + ... + 364274.

Almost surely, 2^36019681920 is an apocalyptic number.

36019681920 is a gapful number since it is divisible by the number (30) 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 36019681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63364169700).

36019681920 is an abundant number, since it is smaller than the sum of its proper divisors (90708657480).

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

36019681920 is a wasteful number, since it uses less digits than its factorization.

36019681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118067 (or 118052 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 36019681920 in words is "thirty-six billion, nineteen million, six hundred eighty-one thousand, nine hundred twenty".