164402620010640 has 400 divisors, whose sum is σ = 632200342213440. Its totient is φ = 39260326026240.

The previous prime is 164402620010623. The next prime is 164402620010663. The reversal of 164402620010640 is 46010026204461.

164402620010640 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 2 + 6 + 2 + 0 + 0 + 1 + 0 + 640 = 666.

It is a super-3 number, since 3×164402620010640³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164402620010595 and 164402620010604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12436435 + ... + 21987954.

Almost surely, 2^{164402620010640} is an apocalyptic number.

164402620010640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164402620010640 is an abundant number, since it is smaller than the sum of its proper divisors (467797722202800).

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

164402620010640 is a wasteful number, since it uses less digits than its factorization.

164402620010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34424492 (or 34424477 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 164402620010640 in words is "one hundred sixty-four trillion, four hundred two billion, six hundred twenty million, ten thousand, six hundred forty".