7672834621440 has 1632 divisors, whose sum is σ = 29679339755520. Its totient is φ = 1827038822400.

The previous prime is 7672834621421. The next prime is 7672834621513. The reversal of 7672834621440 is 441264382767.

7672834621440 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 8 + 3 + 4 + 621 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×7672834621440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86211624916 + ... + 86211625004.

Almost surely, 2^{7672834621440} 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 7672834621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839669877760).

7672834621440 is an abundant number, since it is smaller than the sum of its proper divisors (22006505134080).

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

7672834621440 is a wasteful number, since it uses less digits than its factorization.

7672834621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 7672834621440 in words is "seven trillion, six hundred seventy-two billion, eight hundred thirty-four million, six hundred twenty-one thousand, four hundred forty".