363966063552 has 840 divisors, whose sum is σ = 1422982970640. Its totient is φ = 90923212800.

The previous prime is 363966063541. The next prime is 363966063563. The reversal of 363966063552 is 255360669363.

It is an interprime number because it is at equal distance from previous prime (363966063541) and next prime (363966063563).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62739052 + ... + 62744852.

It is an arithmetic number, because the mean of its divisors is an integer number (1694027346).

Almost surely, 2^363966063552 is an apocalyptic number.

363966063552 is a gapful number since it is divisible by the number (32) 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 363966063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711491485320).

363966063552 is an abundant number, since it is smaller than the sum of its proper divisors (1059016907088).

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

363966063552 is a wasteful number, since it uses less digits than its factorization.

363966063552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 54.

The spelling of 363966063552 in words is "three hundred sixty-three billion, nine hundred sixty-six million, sixty-three thousand, five hundred fifty-two".