3975457664160 has 288 divisors, whose sum is σ = 14039393921280. Its totient is φ = 1023176448000.

The previous prime is 3975457664159. The next prime is 3975457664201. The reversal of 3975457664160 is 614667545793.

It is a happy number.

3975457664160 is a `hidden beast` number, since 3 + 9 + 7 + 54 + 576 + 6 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119041065 + ... + 119074455.

It is an arithmetic number, because the mean of its divisors is an integer number (48747895560).

Almost surely, 2^{3975457664160} is an apocalyptic number.

3975457664160 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 3975457664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019696960640).

3975457664160 is an abundant number, since it is smaller than the sum of its proper divisors (10063936257120).

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

3975457664160 is a wasteful number, since it uses less digits than its factorization.

3975457664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36292 (or 36281 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 3975457664160 in words is "three trillion, nine hundred seventy-five billion, four hundred fifty-seven million, six hundred sixty-four thousand, one hundred sixty".