6842390630400 has 3120 divisors, whose sum is σ = 29731427066880. Its totient is φ = 1541564006400.

The previous prime is 6842390630393. The next prime is 6842390630429. The reversal of 6842390630400 is 40360932486.

6842390630400 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 3 + 9 + 0 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 76880793556 + ... + 76880793644.

Almost surely, 2^{6842390630400} is an apocalyptic number.

6842390630400 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 6842390630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865713533440).

6842390630400 is an abundant number, since it is smaller than the sum of its proper divisors (22889036436480).

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

6842390630400 is a wasteful number, since it uses less digits than its factorization.

6842390630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6842390630400 in words is "six trillion, eight hundred forty-two billion, three hundred ninety million, six hundred thirty thousand, four hundred".