6461799120 has 240 divisors, whose sum is σ = 24947724672. Its totient is φ = 1468247040.

The previous prime is 6461799107. The next prime is 6461799133. The reversal of 6461799120 is 219971646.

6461799120 is a `hidden beast` number, since 6 + 4 + 617 + 9 + 9 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6461799107) and next prime (6461799133).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868215 + ... + 875625.

Almost surely, 2^6461799120 is an apocalyptic number.

6461799120 is a gapful number since it is divisible by the number (60) 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 6461799120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473862336).

6461799120 is an abundant number, since it is smaller than the sum of its proper divisors (18485925552).

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

6461799120 is a wasteful number, since it uses less digits than its factorization.

6461799120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6461799120 is about 80385.3165696323. The cubic root of 6461799120 is about 1862.5923616494.

The spelling of 6461799120 in words is "six billion, four hundred sixty-one million, seven hundred ninety-nine thousand, one hundred twenty".