1963720864 has 144 divisors (see below), whose sum is σ = 4970403648. Its totient is φ = 757413888.

The previous prime is 1963720849. The next prime is 1963720879. The reversal of 1963720864 is 4680273691.

It is an interprime number because it is at equal distance from previous prime (1963720849) and next prime (1963720879).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611487 + ... + 614689.

It is an arithmetic number, because the mean of its divisors is an integer number (34516692).

Almost surely, 2^1963720864 is an apocalyptic number.

1963720864 is a gapful number since it is divisible by the number (14) 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 1963720864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485201824).

1963720864 is an abundant number, since it is smaller than the sum of its proper divisors (3006682784).

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

1963720864 is a wasteful number, since it uses less digits than its factorization.

1963720864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 1963720864 is about 44313.8901925796. The cubic root of 1963720864 is about 1252.2563755514.

The spelling of 1963720864 in words is "one billion, nine hundred sixty-three million, seven hundred twenty thousand, eight hundred sixty-four".