75973449875625 has 315 divisors, whose sum is σ = 146710879288281. Its totient is φ = 39311097552000.

The previous prime is 75973449875599. The next prime is 75973449875629. The reversal of 75973449875625 is 52657894437957.

The square root of 75973449875625 is 8716275.

It is a perfect power (a square), and thus also a powerful number.

75973449875625 is a `hidden beast` number, since 7 + 5 + 9 + 7 + 3 + 4 + 49 + 8 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 63633629830761 + 12339820044864 = 7977069^2 + 3512808^2 .

It is not a de Polignac number, because 75973449875625 - 2⁵ = 75973449875593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (16003008000) is a multiple of the sum of its prime factors (810).

It is not an unprimeable number, because it can be changed into a prime (75973449875629) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 217688967951 + ... + 217688968299.

Almost surely, 2^{75973449875625} is an apocalyptic number.

75973449875625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75973449875625 is the 8716275-th square number.

75973449875625 is the 4358138-th centered octagonal number.

It is an amenable number.

75973449875625 is a deficient number, since it is larger than the sum of its proper divisors (70737429412656).

75973449875625 is an frugal number, since it uses more digits than its factorization.

75973449875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 394 counting only the distinct ones).

The product of its digits is 16003008000, while the sum is 81.

75973449875625 divided by its sum of digits (81) gives a square (937943825625 = 968475²).

The spelling of 75973449875625 in words is "seventy-five trillion, nine hundred seventy-three billion, four hundred forty-nine million, eight hundred seventy-five thousand, six hundred twenty-five".