1536874020864 has 1344 divisors, whose sum is σ = 5830375537980. Its totient is φ = 401316249600.

The previous prime is 1536874020833. The next prime is 1536874020917. The reversal of 1536874020864 is 4680204786351.

It is a happy number.

1536874020864 is a `hidden beast` number, since 1 + 5 + 368 + 74 + 0 + 208 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1522242699264 + 14631321600 = 1233792^2 + 120960^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1536874020864.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15216574414 + ... + 15216574514.

Almost surely, 2^{1536874020864} is an apocalyptic number.

1536874020864 is a gapful number since it is divisible by the number (14) 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 1536874020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915187768990).

1536874020864 is an abundant number, since it is smaller than the sum of its proper divisors (4293501517116).

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

1536874020864 is an frugal number, since it uses more digits than its factorization.

1536874020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1536874020864 in words is "one trillion, five hundred thirty-six billion, eight hundred seventy-four million, twenty thousand, eight hundred sixty-four".