1375294506768 has 1120 divisors, whose sum is σ = 5185345894400. Its totient is φ = 350603043840.

The previous prime is 1375294506767. The next prime is 1375294506787. The reversal of 1375294506768 is 8676054925731.

1375294506768 is a `hidden beast` number, since 1 + 3 + 7 + 52 + 9 + 4 + 506 + 76 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1375294506767) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1612302630 + ... + 1612303482.

It is an arithmetic number, because the mean of its divisors is an integer number (4629773120).

It is a 1-persistent number, because it is pandigital, but 2⋅1375294506768 = 2750589013536 is not.

Almost surely, 2^{1375294506768} is an apocalyptic number.

1375294506768 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 1375294506768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592672947200).

1375294506768 is an abundant number, since it is smaller than the sum of its proper divisors (3810051387632).

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

1375294506768 is an equidigital number, since it uses as much as digits as its factorization.

1375294506768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 1375294506768 in words is "one trillion, three hundred seventy-five billion, two hundred ninety-four million, five hundred six thousand, seven hundred sixty-eight".