6558700451940 has 576 divisors, whose sum is σ = 24924214748160. Its totient is φ = 1359105454080.

The previous prime is 6558700451887. The next prime is 6558700451957. The reversal of 6558700451940 is 491540078556.

It is a happy number.

6558700451940 is a `hidden beast` number, since 6 + 5 + 5 + 87 + 0 + 0 + 4 + 519 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726399346 + ... + 726408374.

It is an arithmetic number, because the mean of its divisors is an integer number (43271206160).

Almost surely, 2^{6558700451940} is an apocalyptic number.

6558700451940 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 6558700451940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12462107374080).

6558700451940 is an abundant number, since it is smaller than the sum of its proper divisors (18365514296220).

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

6558700451940 is a wasteful number, since it uses less digits than its factorization.

6558700451940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9852 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

It can be divided in two parts, 6558700 and 451940, that added together give a triangular number (7010640 = T₃₇₄₄).

The spelling of 6558700451940 in words is "six trillion, five hundred fifty-eight billion, seven hundred million, four hundred fifty-one thousand, nine hundred forty".