18640777001616 has 320 divisors, whose sum is σ = 66830715893760. Its totient is φ = 4832904061440.

The previous prime is 18640777001611. The next prime is 18640777001617. The reversal of 18640777001616 is 61610077704681.

It is a happy number.

18640777001616 is a `hidden beast` number, since 1 + 8 + 6 + 407 + 7 + 70 + 0 + 161 + 6 = 666.

It is a super-2 number, since 2×18640777001616² (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 not an unprimeable number, because it can be changed into a prime (18640777001611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17683170 + ... + 18707646.

It is an arithmetic number, because the mean of its divisors is an integer number (208845987168).

Almost surely, 2^{18640777001616} is an apocalyptic number.

18640777001616 is a gapful number since it is divisible by the number (16) 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 18640777001616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415357946880).

18640777001616 is an abundant number, since it is smaller than the sum of its proper divisors (48189938892144).

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

18640777001616 is a wasteful number, since it uses less digits than its factorization.

18640777001616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025059 (or 1025047 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 18640777001616 in words is "eighteen trillion, six hundred forty billion, seven hundred seventy-seven million, one thousand, six hundred sixteen".