1503340827664 has 405 divisors, whose sum is σ = 3585181132773. Its totient is φ = 610189811712.

The previous prime is 1503340827643. The next prime is 1503340827673. The reversal of 1503340827664 is 4667280433051.

The square root of 1503340827664 is 1226108.

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

It can be written as a sum of positive squares in 13 ways, for example, as 792705315600 + 710635512064 = 890340^2 + 842992^2 .

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, 20593709932 + ... + 20593710004.

Almost surely, 2^{1503340827664} is an apocalyptic number.

1503340827664 is the 1226108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1503340827664

1503340827664 is an abundant number, since it is smaller than the sum of its proper divisors (2081840305109).

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

1503340827664 is a wasteful number, since it uses less digits than its factorization.

1503340827664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 1503340827664 by its sum of digits (49), we get a square (73663700555536 = 8582756²).

The spelling of 1503340827664 in words is "one trillion, five hundred three billion, three hundred forty million, eight hundred twenty-seven thousand, six hundred sixty-four".