1640643379100 has 288 divisors, whose sum is σ = 4063607412480. Its totient is φ = 569806848000.

The previous prime is 1640643379099. The next prime is 1640643379103. The reversal of 1640643379100 is 19733460461.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640643379103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328586204 + ... + 328591196.

It is an arithmetic number, because the mean of its divisors is an integer number (14109747960).

Almost surely, 2^{1640643379100} is an apocalyptic number.

1640643379100 is a gapful number since it is divisible by the number (10) 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 1640643379100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031803706240).

1640643379100 is an abundant number, since it is smaller than the sum of its proper divisors (2422964033380).

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

1640643379100 is a wasteful number, since it uses less digits than its factorization.

1640643379100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 1640643379100 in words is "one trillion, six hundred forty billion, six hundred forty-three million, three hundred seventy-nine thousand, one hundred".