167828949491400 has 960 divisors, whose sum is σ = 591029561865600. Its totient is φ = 44135892541440.

The previous prime is 167828949491393. The next prime is 167828949491429. The reversal of 167828949491400 is 4194949828761.

167828949491400 is a `hidden beast` number, since 1 + 6 + 7 + 8 + 2 + 8 + 9 + 494 + 91 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 257012173474 + ... + 257012174126.

It is an arithmetic number, because the mean of its divisors is an integer number (615655793610).

Almost surely, 2^{167828949491400} is an apocalyptic number.

167828949491400 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 167828949491400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295514780932800).

167828949491400 is an abundant number, since it is smaller than the sum of its proper divisors (423200612374200).

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

167828949491400 is a wasteful number, since it uses less digits than its factorization.

167828949491400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 167828949491400 in words is "one hundred sixty-seven trillion, eight hundred twenty-eight billion, nine hundred forty-nine million, four hundred ninety-one thousand, four hundred".