6241461504 has 72 divisors (see below), whose sum is σ = 16671926880. Its totient is φ = 2072905728.

The previous prime is 6241461467. The next prime is 6241461511. The reversal of 6241461504 is 4051641426.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198067 + ... + 227405.

It is an arithmetic number, because the mean of its divisors is an integer number (231554540).

Almost surely, 2^6241461504 is an apocalyptic number.

6241461504 is a gapful number since it is divisible by the number (64) 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 6241461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335963440).

6241461504 is an abundant number, since it is smaller than the sum of its proper divisors (10430465376).

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

6241461504 is a wasteful number, since it uses less digits than its factorization.

6241461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29635 (or 29621 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6241461504 is about 79002.9208573962. The cubic root of 6241461504 is about 1841.1765380196.

The spelling of 6241461504 in words is "six billion, two hundred forty-one million, four hundred sixty-one thousand, five hundred four".