6164377440 has 192 divisors, whose sum is σ = 21120668352. Its totient is φ = 1502208000.

The previous prime is 6164377399. The next prime is 6164377447. The reversal of 6164377440 is 447734616.

It is a super-3 number, since 3×6164377440³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6164377392 and 6164377401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6164377447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625350 + ... + 635130.

It is an arithmetic number, because the mean of its divisors is an integer number (110003481).

Almost surely, 2^6164377440 is an apocalyptic number.

6164377440 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 6164377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560334176).

6164377440 is an abundant number, since it is smaller than the sum of its proper divisors (14956290912).

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

6164377440 is a wasteful number, since it uses less digits than its factorization.

6164377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 6164377440 is about 78513.5494039086. The cubic root of 6164377440 is about 1833.5654100331.

The spelling of 6164377440 in words is "six billion, one hundred sixty-four million, three hundred seventy-seven thousand, four hundred forty".