6167420400 has 60 divisors (see below), whose sum is σ = 19756307192. Its totient is φ = 1644645120.

The previous prime is 6167420393. The next prime is 6167420407. The reversal of 6167420400 is 40247616.

It is an interprime number because it is at equal distance from previous prime (6167420393) and next prime (6167420407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6167420407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2568559 + ... + 2570958.

Almost surely, 2^6167420400 is an apocalyptic number.

6167420400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6167420400 is an abundant number, since it is smaller than the sum of its proper divisors (13588886792).

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

6167420400 is a wasteful number, since it uses less digits than its factorization.

6167420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139538 (or 5139527 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6167420400 is about 78532.9255790207. The cubic root of 6167420400 is about 1833.8670651708.

The spelling of 6167420400 in words is "six billion, one hundred sixty-seven million, four hundred twenty thousand, four hundred".