7640262448416 has 288 divisors, whose sum is σ = 24940978498800. Its totient is φ = 2197712535552.

The previous prime is 7640262448393. The next prime is 7640262448421. The reversal of 7640262448416 is 6148442620467.

7640262448416 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 2 + 624 + 4 + 8 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4514792038416 + 3125470410000 = 2124804^2 + 1767900^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7640262448416² (a number of 27 digits) contains 22 as substring.

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, 9080736 + ... + 9886368.

Almost surely, 2^{7640262448416} 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 7640262448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470489249400).

7640262448416 is an abundant number, since it is smaller than the sum of its proper divisors (17300716050384).

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

7640262448416 is a wasteful number, since it uses less digits than its factorization.

7640262448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805828 (or 805817 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 7640262448416 in words is "seven trillion, six hundred forty billion, two hundred sixty-two million, four hundred forty-eight thousand, four hundred sixteen".