40679646336 has 896 divisors, whose sum is σ = 149837184000. Its totient is φ = 10973491200.

The previous prime is 40679646313. The next prime is 40679646373. The reversal of 40679646336 is 63364697604.

40679646336 is a `hidden beast` number, since 4 + 0 + 67 + 96 + 463 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992186476 + ... + 992186516.

It is an arithmetic number, because the mean of its divisors is an integer number (167229000).

Almost surely, 2^40679646336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40679646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74918592000).

40679646336 is an abundant number, since it is smaller than the sum of its proper divisors (109157537664).

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

40679646336 is an frugal number, since it uses more digits than its factorization.

40679646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 40679646336 in words is "forty billion, six hundred seventy-nine million, six hundred forty-six thousand, three hundred thirty-six".