363728781504 has 1120 divisors, whose sum is σ = 1296905955840. Its totient is φ = 99632332800.

The previous prime is 363728781457. The next prime is 363728781511. The reversal of 363728781504 is 405187827363.

It is a happy number.

363728781504 is a `hidden beast` number, since 3 + 6 + 37 + 28 + 7 + 81 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2776555519 + ... + 2776555649.

Almost surely, 2^363728781504 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 363728781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648452977920).

363728781504 is an abundant number, since it is smaller than the sum of its proper divisors (933177174336).

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

363728781504 is a wasteful number, since it uses less digits than its factorization.

363728781504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 363728781504 in words is "three hundred sixty-three billion, seven hundred twenty-eight million, seven hundred eighty-one thousand, five hundred four".