1506736610064 has 225 divisors, whose sum is σ = 5073963599991. Its totient is φ = 430407794880.

The previous prime is 1506736610051. The next prime is 1506736610111. The reversal of 1506736610064 is 4600166376051.

The square root of 1506736610064 is 1227492.

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

1506736610064 is a `hidden beast` number, since 1 + 506 + 7 + 36 + 6 + 100 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 309325549 + ... + 309330419.

Almost surely, 2^{1506736610064} is an apocalyptic number.

1506736610064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1506736610064 is the 1227492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506736610064

1506736610064 is an abundant number, since it is smaller than the sum of its proper divisors (3567226989927).

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

1506736610064 is an frugal number, since it uses more digits than its factorization.

1506736610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1506736610064 in words is "one trillion, five hundred six billion, seven hundred thirty-six million, six hundred ten thousand, sixty-four".