167996372544 has 1344 divisors, whose sum is σ = 691116687360. Its totient is φ = 38817792000.

The previous prime is 167996372501. The next prime is 167996372563. The reversal of 167996372544 is 445273699761.

167996372544 is a `hidden beast` number, since 16 + 7 + 9 + 9 + 6 + 3 + 72 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×167996372544³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 697080264 + ... + 697080504.

Almost surely, 2^167996372544 is an apocalyptic number.

167996372544 is a gapful number since it is divisible by the number (14) 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 167996372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345558343680).

167996372544 is an abundant number, since it is smaller than the sum of its proper divisors (523120314816).

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

167996372544 is a wasteful number, since it uses less digits than its factorization.

167996372544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 308 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 167996372544 in words is "one hundred sixty-seven billion, nine hundred ninety-six million, three hundred seventy-two thousand, five hundred forty-four".