6420087993600 has 648 divisors, whose sum is σ = 23892788180352. Its totient is φ = 1705594060800.

The previous prime is 6420087993587. The next prime is 6420087993629. The reversal of 6420087993600 is 63997800246.

It is a happy number.

6420087993600 is a `hidden beast` number, since 6 + 4 + 20 + 0 + 8 + 7 + 9 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 421451584 + ... + 421466816.

Almost surely, 2^{6420087993600} is an apocalyptic number.

6420087993600 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 6420087993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946394090176).

6420087993600 is an abundant number, since it is smaller than the sum of its proper divisors (17472700186752).

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

6420087993600 is a wasteful number, since it uses less digits than its factorization.

6420087993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15545 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6420087993600 in words is "six trillion, four hundred twenty billion, eighty-seven million, nine hundred ninety-three thousand, six hundred".