6376631040 has 864 divisors, whose sum is σ = 26248884480. Its totient is φ = 1469104128.

The previous prime is 6376631033. The next prime is 6376631069. The reversal of 6376631040 is 401366736.

It is a happy number.

6376631040 is a `hidden beast` number, since 637 + 6 + 6 + 3 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6376631040² = 81322846840582963200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6376630986 and 6376631004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76826839 + ... + 76826921.

Almost surely, 2^6376631040 is an apocalyptic number.

6376631040 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 6376631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124442240).

6376631040 is an abundant number, since it is smaller than the sum of its proper divisors (19872253440).

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

6376631040 is a wasteful number, since it uses less digits than its factorization.

6376631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6376631040 is about 79853.8104288080. The cubic root of 6376631040 is about 1854.3730044114.

Adding to 6376631040 its reverse (401366736), we get a palindrome (6777997776).

The spelling of 6376631040 in words is "six billion, three hundred seventy-six million, six hundred thirty-one thousand, forty".