375072768000 has 2400 divisors, whose sum is σ = 1781308488960. Its totient is φ = 76441190400.

The previous prime is 375072767959. The next prime is 375072768001. The reversal of 375072768000 is 867270573.

375072768000 is a `hidden beast` number, since 375 + 0 + 7 + 276 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (375072768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19740671991 + ... + 19740672009.

Almost surely, 2^375072768000 is an apocalyptic number.

375072768000 is a gapful number since it is divisible by the number (30) 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 375072768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890654244480).

375072768000 is an abundant number, since it is smaller than the sum of its proper divisors (1406235720960).

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

375072768000 is an equidigital number, since it uses as much as digits as its factorization.

375072768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 375072768000 in words is "three hundred seventy-five billion, seventy-two million, seven hundred sixty-eight thousand".