2799463680 has 720 divisors, whose sum is σ = 11301717504. Its totient is φ = 656916480.

The previous prime is 2799463673. The next prime is 2799463717. The reversal of 2799463680 is 863649972.

It is a happy number.

2799463680 is a `hidden beast` number, since 279 + 9 + 4 + 6 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41783007 + ... + 41783073.

Almost surely, 2^2799463680 is an apocalyptic number.

2799463680 is a gapful number since it is divisible by the number (20) 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 2799463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650858752).

2799463680 is an abundant number, since it is smaller than the sum of its proper divisors (8502253824).

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

2799463680 is a wasteful number, since it uses less digits than its factorization.

2799463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2799463680 is about 52909.9582309417. The cubic root of 2799463680 is about 1409.3697500177.

The spelling of 2799463680 in words is "two billion, seven hundred ninety-nine million, four hundred sixty-three thousand, six hundred eighty".