6700422193920 has 3456 divisors, whose sum is σ = 31896721382400. Its totient is φ = 1316317298688.

The previous prime is 6700422193891. The next prime is 6700422193957. The reversal of 6700422193920 is 293912240076.

6700422193920 is a `hidden beast` number, since 6 + 7 + 0 + 0 + 42 + 219 + 392 + 0 = 666.

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

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

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, 34717213344 + ... + 34717213536.

It is an arithmetic number, because the mean of its divisors is an integer number (9229375400).

Almost surely, 2^{6700422193920} is an apocalyptic number.

6700422193920 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 6700422193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948360691200).

6700422193920 is an abundant number, since it is smaller than the sum of its proper divisors (25196299188480).

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

6700422193920 is a wasteful number, since it uses less digits than its factorization.

6700422193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 6700422193920 in words is "six trillion, seven hundred billion, four hundred twenty-two million, one hundred ninety-three thousand, nine hundred twenty".