6620889542400 has 864 divisors, whose sum is σ = 27819736089600. Its totient is φ = 1509348556800.

The previous prime is 6620889542381. The next prime is 6620889542419. The reversal of 6620889542400 is 42459880266.

6620889542400 is a `hidden beast` number, since 6 + 6 + 208 + 8 + 9 + 5 + 424 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6620889542381) and next prime (6620889542419).

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 470527365 + ... + 470541435.

Almost surely, 2^{6620889542400} is an apocalyptic number.

6620889542400 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 6620889542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13909868044800).

6620889542400 is an abundant number, since it is smaller than the sum of its proper divisors (21198846547200).

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

6620889542400 is a wasteful number, since it uses less digits than its factorization.

6620889542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6620889542400 in words is "six trillion, six hundred twenty billion, eight hundred eighty-nine million, five hundred forty-two thousand, four hundred".