6414379632 has 240 divisors, whose sum is σ = 20235371520. Its totient is φ = 1959552000.

The previous prime is 6414379627. The next prime is 6414379687. The reversal of 6414379632 is 2369734146.

6414379632 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 3 + 7 + 9 + 632 = 666.

It is a super-2 number, since 2×6414379632² = 82288532126832910848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2288632 + ... + 2291432.

It is an arithmetic number, because the mean of its divisors is an integer number (84314048).

Almost surely, 2^6414379632 is an apocalyptic number.

6414379632 is a gapful number since it is divisible by the number (62) 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 6414379632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10117685760).

6414379632 is an abundant number, since it is smaller than the sum of its proper divisors (13820991888).

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

6414379632 is a wasteful number, since it uses less digits than its factorization.

6414379632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2856 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 6414379632 is about 80089.8222747435. The cubic root of 6414379632 is about 1858.0250004071.

The spelling of 6414379632 in words is "six billion, four hundred fourteen million, three hundred seventy-nine thousand, six hundred thirty-two".