164750976000 has 1408 divisors, whose sum is σ = 693844569600. Its totient is φ = 38220595200.

The previous prime is 164750975971. The next prime is 164750976037. The reversal of 164750976000 is 679057461.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 853631904 + ... + 853632096.

Almost surely, 2^164750976000 is an apocalyptic number.

164750976000 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 164750976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346922284800).

164750976000 is an abundant number, since it is smaller than the sum of its proper divisors (529093593600).

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

164750976000 is a wasteful number, since it uses less digits than its factorization.

164750976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 164750976000 in words is "one hundred sixty-four billion, seven hundred fifty million, nine hundred seventy-six thousand".