6901820451900 has 432 divisors, whose sum is σ = 24565356466560. Its totient is φ = 1666931270400.

The previous prime is 6901820451871. The next prime is 6901820451937. The reversal of 6901820451900 is 91540281096.

6901820451900 is a `hidden beast` number, since 6 + 90 + 1 + 8 + 20 + 451 + 90 + 0 = 666.

It is a super-2 number, since 2×6901820451900² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 71855707 + ... + 71951693.

It is an arithmetic number, because the mean of its divisors is an integer number (56864251080).

Almost surely, 2^{6901820451900} is an apocalyptic number.

6901820451900 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 6901820451900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282678233280).

6901820451900 is an abundant number, since it is smaller than the sum of its proper divisors (17663536014660).

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

6901820451900 is a wasteful number, since it uses less digits than its factorization.

6901820451900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96296 (or 96277 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 6901820451900 in words is "six trillion, nine hundred one billion, eight hundred twenty million, four hundred fifty-one thousand, nine hundred".