75663504900 has 243 divisors, whose sum is σ = 243127571869. Its totient is φ = 19681808640.

The previous prime is 75663504893. The next prime is 75663504923. The reversal of 75663504900 is 940536657.

The square root of 75663504900 is 275070.

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

75663504900 is a `hidden beast` number, since 7 + 5 + 6 + 635 + 0 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3551921604 + 72111583296 = 59598^2 + 268536^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 437361214 + ... + 437361386.

Almost surely, 2^75663504900 is an apocalyptic number.

75663504900 is the 275070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75663504900

75663504900 is an abundant number, since it is smaller than the sum of its proper divisors (167464066969).

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

75663504900 is a wasteful number, since it uses less digits than its factorization.

75663504900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 75663504900 in words is "seventy-five billion, six hundred sixty-three million, five hundred four thousand, nine hundred".