1768215975372 has 1152 divisors, whose sum is σ = 6200418631680. Its totient is φ = 411505920000.

The previous prime is 1768215975349. The next prime is 1768215975431. The reversal of 1768215975372 is 2735795128671.

It is a happy number.

1768215975372 is a `hidden beast` number, since 1 + 7 + 6 + 8 + 2 + 1 + 5 + 97 + 537 + 2 = 666.

1768215975372 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

1768215975372 is strictly pandigital in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11710039497 + ... + 11710039647.

It is an arithmetic number, because the mean of its divisors is an integer number (5382307840).

Almost surely, 2^{1768215975372} is an apocalyptic number.

1768215975372 is a gapful number since it is divisible by the number (12) 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 1768215975372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100209315840).

1768215975372 is an abundant number, since it is smaller than the sum of its proper divisors (4432202656308).

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

1768215975372 is a wasteful number, since it uses less digits than its factorization.

1768215975372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 398 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The spelling of 1768215975372 in words is "one trillion, seven hundred sixty-eight billion, two hundred fifteen million, nine hundred seventy-five thousand, three hundred seventy-two".