375966958752 has 960 divisors, whose sum is σ = 1510363895040. Its totient is φ = 88716902400.

The previous prime is 375966958751. The next prime is 375966958789. The reversal of 375966958752 is 257859669573.

375966958752 is a `hidden beast` number, since 37 + 5 + 9 + 6 + 6 + 9 + 587 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (375966958751) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98393002 + ... + 98396822.

It is an arithmetic number, because the mean of its divisors is an integer number (1573295724).

Almost surely, 2^375966958752 is an apocalyptic number.

375966958752 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 375966958752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755181947520).

375966958752 is an abundant number, since it is smaller than the sum of its proper divisors (1134396936288).

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

375966958752 is a wasteful number, since it uses less digits than its factorization.

375966958752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3890 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 375966958752 in words is "three hundred seventy-five billion, nine hundred sixty-six million, nine hundred fifty-eight thousand, seven hundred fifty-two".