7040039827680 has 1536 divisors, whose sum is σ = 27284488519680. Its totient is φ = 1690165002240.

The previous prime is 7040039827679. The next prime is 7040039827693. The reversal of 7040039827680 is 867289300407.

7040039827680 is a `hidden beast` number, since 7 + 0 + 400 + 3 + 98 + 2 + 76 + 80 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15891737539 + ... + 15891737981.

It is an arithmetic number, because the mean of its divisors is an integer number (17763338880).

Almost surely, 2^{7040039827680} 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 7040039827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13642244259840).

7040039827680 is an abundant number, since it is smaller than the sum of its proper divisors (20244448692000).

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

7040039827680 is a wasteful number, since it uses less digits than its factorization.

7040039827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7040039827680 in words is "seven trillion, forty billion, thirty-nine million, eight hundred twenty-seven thousand, six hundred eighty".