6634796970240 has 576 divisors, whose sum is σ = 25162496190720. Its totient is φ = 1649625661440.

The previous prime is 6634796970097. The next prime is 6634796970281. The reversal of 6634796970240 is 420796974366.

6634796970240 is a `hidden beast` number, since 6 + 63 + 479 + 69 + 7 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62811870 + ... + 62917410.

It is an arithmetic number, because the mean of its divisors is an integer number (43684889220).

Almost surely, 2^{6634796970240} is an apocalyptic number.

6634796970240 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 6634796970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581248095360).

6634796970240 is an abundant number, since it is smaller than the sum of its proper divisors (18527699220480).

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

6634796970240 is a wasteful number, since it uses less digits than its factorization.

6634796970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105695 (or 105675 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 6634796970240 in words is "six trillion, six hundred thirty-four billion, seven hundred ninety-six million, nine hundred seventy thousand, two hundred forty".