7681461971040 has 2880 divisors, whose sum is σ = 34793694270720. Its totient is φ = 1568985292800.

The previous prime is 7681461970943. The next prime is 7681461971107. The reversal of 7681461971040 is 401791641867.

7681461971040 is a `hidden beast` number, since 7 + 6 + 8 + 1 + 4 + 619 + 7 + 10 + 4 + 0 = 666.

It is a super-3 number, since 3×7681461971040³ (a number of 40 digits) contains 333 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33839039407 + ... + 33839039633.

It is an arithmetic number, because the mean of its divisors is an integer number (12081143844).

Almost surely, 2^{7681461971040} 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 7681461971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396847135360).

7681461971040 is an abundant number, since it is smaller than the sum of its proper divisors (27112232299680).

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

7681461971040 is a wasteful number, since it uses less digits than its factorization.

7681461971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 7681461971040 in words is "seven trillion, six hundred eighty-one billion, four hundred sixty-one million, nine hundred seventy-one thousand, forty".