6374240640 has 384 divisors, whose sum is σ = 22722336000. Its totient is φ = 1645940736.

The previous prime is 6374240633. The next prime is 6374240647. The reversal of 6374240640 is 460424736.

6374240640 is a `hidden beast` number, since 6 + 3 + 7 + 4 + 2 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6374240633) and next prime (6374240647).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 6374240595 and 6374240604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6374240647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32031261 + ... + 32031459.

It is an arithmetic number, because the mean of its divisors is an integer number (59172750).

Almost surely, 2^6374240640 is an apocalyptic number.

6374240640 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 6374240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361168000).

6374240640 is an abundant number, since it is smaller than the sum of its proper divisors (16348095360).

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

6374240640 is a wasteful number, since it uses less digits than its factorization.

6374240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6374240640 is about 79838.8416749642. The cubic root of 6374240640 is about 1854.1412599260.

The spelling of 6374240640 in words is "six billion, three hundred seventy-four million, two hundred forty thousand, six hundred forty".