6770831558400 has 3456 divisors, whose sum is σ = 32381700771840. Its totient is φ = 1345364951040.

The previous prime is 6770831558327. The next prime is 6770831558431. The reversal of 6770831558400 is 48551380776.

It is a happy number.

6770831558400 is a `hidden beast` number, since 6 + 7 + 7 + 0 + 83 + 1 + 558 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×6770831558400² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 35082028704 + ... + 35082028896.

Almost surely, 2^{6770831558400} is an apocalyptic number.

6770831558400 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 6770831558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190850385920).

6770831558400 is an abundant number, since it is smaller than the sum of its proper divisors (25610869213440).

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

6770831558400 is a wasteful number, since it uses less digits than its factorization.

6770831558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 6770831558400 in words is "six trillion, seven hundred seventy billion, eight hundred thirty-one million, five hundred fifty-eight thousand, four hundred".