1480345976736 has 864 divisors, whose sum is σ = 5072825511936. Its totient is φ = 421070400000.

The previous prime is 1480345976689. The next prime is 1480345976749. The reversal of 1480345976736 is 6376795430841.

It is a happy number.

1480345976736 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 3 + 4 + 597 + 6 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 5897792611 + ... + 5897792861.

It is an arithmetic number, because the mean of its divisors is an integer number (5871325824).

Almost surely, 2^{1480345976736} is an apocalyptic number.

1480345976736 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 1480345976736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536412755968).

1480345976736 is an abundant number, since it is smaller than the sum of its proper divisors (3592479535200).

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

1480345976736 is a wasteful number, since it uses less digits than its factorization.

1480345976736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 1480345976736 in words is "one trillion, four hundred eighty billion, three hundred forty-five million, nine hundred seventy-six thousand, seven hundred thirty-six".