7681454148060 has 672 divisors, whose sum is σ = 30374077289472. Its totient is φ = 1584463887360.

The previous prime is 7681454148041. The next prime is 7681454148083. The reversal of 7681454148060 is 608414541867.

7681454148060 is a `hidden beast` number, since 7 + 6 + 8 + 14 + 541 + 4 + 80 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7681454147988 and 7681454148006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 153779449 + ... + 153829391.

It is an arithmetic number, because the mean of its divisors is an integer number (45199519776).

Almost surely, 2^{7681454148060} is an apocalyptic number.

7681454148060 is a gapful number since it is divisible by the number (70) 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 7681454148060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187038644736).

7681454148060 is an abundant number, since it is smaller than the sum of its proper divisors (22692623141412).

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

7681454148060 is a wasteful number, since it uses less digits than its factorization.

7681454148060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50125 (or 50108 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 7681454148060 in words is "seven trillion, six hundred eighty-one billion, four hundred fifty-four million, one hundred forty-eight thousand, sixty".