1496610984960 has 1408 divisors, whose sum is σ = 6585195724800. Its totient is φ = 313886638080.

The previous prime is 1496610984959. The next prime is 1496610984983. The reversal of 1496610984960 is 694890166941.

1496610984960 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 610 + 9 + 8 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3409136421 + ... + 3409136859.

It is an arithmetic number, because the mean of its divisors is an integer number (4676985600).

Almost surely, 2^{1496610984960} is an apocalyptic number.

1496610984960 is a gapful number since it is divisible by the number (10) 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 1496610984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292597862400).

1496610984960 is an abundant number, since it is smaller than the sum of its proper divisors (5088584739840).

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

1496610984960 is a wasteful number, since it uses less digits than its factorization.

1496610984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1496610984960 in words is "one trillion, four hundred ninety-six billion, six hundred ten million, nine hundred eighty-four thousand, nine hundred sixty".