164097689400 has 240 divisors, whose sum is σ = 582064575840. Its totient is φ = 42828134400.

The previous prime is 164097689389. The next prime is 164097689417. The reversal of 164097689400 is 4986790461.

164097689400 is a `hidden beast` number, since 164 + 0 + 9 + 76 + 8 + 9 + 400 = 666.

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 59 ways as a sum of consecutive naturals, for example, 653640 + ... + 869160.

It is an arithmetic number, because the mean of its divisors is an integer number (2425269066).

Almost surely, 2^164097689400 is an apocalyptic number.

164097689400 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 164097689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291032287920).

164097689400 is an abundant number, since it is smaller than the sum of its proper divisors (417966886440).

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

164097689400 is a wasteful number, since it uses less digits than its factorization.

164097689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215596 (or 215578 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 164097689400 in words is "one hundred sixty-four billion, ninety-seven million, six hundred eighty-nine thousand, four hundred".