1506410470656 has 1296 divisors, whose sum is σ = 5578928724096. Its totient is φ = 382588157952.

The previous prime is 1506410470627. The next prime is 1506410470667. The reversal of 1506410470656 is 6560740146051.

1506410470656 is a `hidden beast` number, since 1 + 50 + 64 + 10 + 470 + 65 + 6 = 666.

It is a super-2 number, since 2×1506410470656² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13331066056 + ... + 13331066168.

Almost surely, 2^{1506410470656} is an apocalyptic number.

1506410470656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506410470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789464362048).

1506410470656 is an abundant number, since it is smaller than the sum of its proper divisors (4072518253440).

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

1506410470656 is a wasteful number, since it uses less digits than its factorization.

1506410470656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 1506410 and 470656, that added together give a triangular number (1977066 = T₁₉₈₈).

The spelling of 1506410470656 in words is "one trillion, five hundred six billion, four hundred ten million, four hundred seventy thousand, six hundred fifty-six".