7640382180816 has 400 divisors, whose sum is σ = 27590267443200. Its totient is φ = 1983060092160.

The previous prime is 7640382180811. The next prime is 7640382180829. The reversal of 7640382180816 is 6180812830467.

7640382180816 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 382 + 180 + 81 + 6 = 666.

It is a super-2 number, since 2×7640382180816² (a number of 27 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (7640382180811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139581645 + ... + 139636371.

It is an arithmetic number, because the mean of its divisors is an integer number (68975668608).

Almost surely, 2^{7640382180816} 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 7640382180816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795133721600).

7640382180816 is an abundant number, since it is smaller than the sum of its proper divisors (19949885262384).

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

7640382180816 is a wasteful number, since it uses less digits than its factorization.

7640382180816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56164 (or 56149 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 7640382180816 in words is "seven trillion, six hundred forty billion, three hundred eighty-two million, one hundred eighty thousand, eight hundred sixteen".