1936282779648 has 512 divisors, whose sum is σ = 6783344352000. Its totient is φ = 534097428480.

The previous prime is 1936282779631. The next prime is 1936282779671. The reversal of 1936282779648 is 8469772826391.

1936282779648 is a `hidden beast` number, since 193 + 6 + 282 + 77 + 96 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×1936282779648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179596018 + ... + 179606798.

Almost surely, 2^{1936282779648} is an apocalyptic number.

1936282779648 is a gapful number since it is divisible by the number (18) 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 1936282779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391672176000).

1936282779648 is an abundant number, since it is smaller than the sum of its proper divisors (4847061572352).

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

1936282779648 is an equidigital number, since it uses as much as digits as its factorization.

1936282779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 10822 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 1936282779648 in words is "one trillion, nine hundred thirty-six billion, two hundred eighty-two million, seven hundred seventy-nine thousand, six hundred forty-eight".