167661477504 has 384 divisors, whose sum is σ = 519887047680. Its totient is φ = 53743979520.

The previous prime is 167661477499. The next prime is 167661477509. The reversal of 167661477504 is 405774166761.

167661477504 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 61 + 4 + 77 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (167661477499) and next prime (167661477509).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×167661477504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (167661477509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89609689 + ... + 89611559.

It is an arithmetic number, because the mean of its divisors is an integer number (1353872520).

Almost surely, 2^167661477504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167661477504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259943523840).

167661477504 is an abundant number, since it is smaller than the sum of its proper divisors (352225570176).

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

167661477504 is an equidigital number, since it uses as much as digits as its factorization.

167661477504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 167661477504 in words is "one hundred sixty-seven billion, six hundred sixty-one million, four hundred seventy-seven thousand, five hundred four".