164827238400 has 936 divisors, whose sum is σ = 655969354560. Its totient is φ = 39223296000.

The previous prime is 164827238377. The next prime is 164827238423. The reversal of 164827238400 is 4832728461.

It is a happy number.

164827238400 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 2 + 7 + 238 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (164827238377) and next prime (164827238423).

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 71 ways as a sum of consecutive naturals, for example, 719769486 + ... + 719769714.

It is an arithmetic number, because the mean of its divisors is an integer number (700821960).

Almost surely, 2^164827238400 is an apocalyptic number.

164827238400 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 164827238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327984677280).

164827238400 is an abundant number, since it is smaller than the sum of its proper divisors (491142116160).

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

164827238400 is a wasteful number, since it uses less digits than its factorization.

164827238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 164827238400 in words is "one hundred sixty-four billion, eight hundred twenty-seven million, two hundred thirty-eight thousand, four hundred".