375106256640 has 1440 divisors, whose sum is σ = 1564195691520. Its totient is φ = 85136375808.

The previous prime is 375106256639. The next prime is 375106256641. The reversal of 375106256640 is 46652601573.

375106256640 is a `hidden beast` number, since 3 + 7 + 5 + 10 + 625 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (375106256639) and next prime (375106256641).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375106256641) 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, 770238477 + ... + 770238963.

It is an arithmetic number, because the mean of its divisors is an integer number (1086247008).

Almost surely, 2^375106256640 is an apocalyptic number.

375106256640 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 375106256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782097845760).

375106256640 is an abundant number, since it is smaller than the sum of its proper divisors (1189089434880).

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

375106256640 is a wasteful number, since it uses less digits than its factorization.

375106256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 375106256640 in words is "three hundred seventy-five billion, one hundred six million, two hundred fifty-six thousand, six hundred forty".