1004990210064 has 75 divisors (see below), whose sum is σ = 2908837697007. Its totient is φ = 334984706784.

The previous prime is 1004990210047. The next prime is 1004990210071. The reversal of 1004990210064 is 4600120994001.

It is a happy number.

The square root of 1004990210064 is 1002492.

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

1004990210064 is a `hidden beast` number, since 1 + 0 + 0 + 499 + 0 + 2 + 100 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36075789 + ... + 36103635.

Almost surely, 2^{1004990210064} is an apocalyptic number.

1004990210064 is the 1002492-nd square number.

It is an amenable number.

1004990210064 is an abundant number, since it is smaller than the sum of its proper divisors (1903847486943).

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

1004990210064 is an frugal number, since it uses more digits than its factorization.

1004990210064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55714 (or 27852 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1004990210064 by its sum of digits (36), we get a square (36179647562304 = 6014952²).

1004990210064 divided by its sum of digits (36) gives a square (27916394724 = 167082²).

The spelling of 1004990210064 in words is "one trillion, four billion, nine hundred ninety million, two hundred ten thousand, sixty-four".