6166157400 has 960 divisors, whose sum is σ = 25710854400. Its totient is φ = 1354890240.

The previous prime is 6166157353. The next prime is 6166157441. The reversal of 6166157400 is 47516616.

It is a super-3 number, since 3×6166157400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 92032167 + ... + 92032233.

It is an arithmetic number, because the mean of its divisors is an integer number (26782140).

Almost surely, 2^6166157400 is an apocalyptic number.

6166157400 is a gapful number since it is divisible by the number (60) 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 6166157400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855427200).

6166157400 is an abundant number, since it is smaller than the sum of its proper divisors (19544697000).

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

6166157400 is a wasteful number, since it uses less digits than its factorization.

6166157400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6166157400 is about 78524.8839540690. The cubic root of 6166157400 is about 1833.7418733252.

The spelling of 6166157400 in words is "six billion, one hundred sixty-six million, one hundred fifty-seven thousand, four hundred".