6048639492480 has 1152 divisors, whose sum is σ = 24155233240320. Its totient is φ = 1385334669312.

The previous prime is 6048639492451. The next prime is 6048639492551. The reversal of 6048639492480 is 842949368406.

6048639492480 is a `hidden beast` number, since 6 + 0 + 4 + 8 + 63 + 9 + 4 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1465624177 + ... + 1465628303.

It is an arithmetic number, because the mean of its divisors is an integer number (20968084410).

Almost surely, 2^{6048639492480} is an apocalyptic number.

6048639492480 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 6048639492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077616620160).

6048639492480 is an abundant number, since it is smaller than the sum of its proper divisors (18106593747840).

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

6048639492480 is a wasteful number, since it uses less digits than its factorization.

6048639492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 6048639492480 in words is "six trillion, forty-eight billion, six hundred thirty-nine million, four hundred ninety-two thousand, four hundred eighty".