40762376066664 has 192 divisors, whose sum is σ = 129098277360000. Its totient is φ = 11378585064960.

The previous prime is 40762376066653. The next prime is 40762376066681. The reversal of 40762376066664 is 46666067326704.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 131647 + ... + 9030065.

It is an arithmetic number, because the mean of its divisors is an integer number (672386861250).

Almost surely, 2^{40762376066664} 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 40762376066664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64549138680000).

40762376066664 is an abundant number, since it is smaller than the sum of its proper divisors (88335901293336).

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

40762376066664 is a wasteful number, since it uses less digits than its factorization.

40762376066664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898648 (or 8898641 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 63.

The spelling of 40762376066664 in words is "forty trillion, seven hundred sixty-two billion, three hundred seventy-six million, sixty-six thousand, six hundred sixty-four".