1480680864 has 192 divisors, whose sum is σ = 4678692480. Its totient is φ = 452874240.

The previous prime is 1480680833. The next prime is 1480680881. The reversal of 1480680864 is 4680860841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2706639 + ... + 2707185.

It is an arithmetic number, because the mean of its divisors is an integer number (24368190).

Almost surely, 2^1480680864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339346240).

1480680864 is an abundant number, since it is smaller than the sum of its proper divisors (3198011616).

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

1480680864 is a wasteful number, since it uses less digits than its factorization.

1480680864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1480680864 is about 38479.6162143023. The cubic root of 1480680864 is about 1139.7785719521.

It can be divided in two parts, 1480680 and 864, that added together give a cube (1481544 = 114³).

The spelling of 1480680864 in words is "one billion, four hundred eighty million, six hundred eighty thousand, eight hundred sixty-four".