18290912640 has 1024 divisors, whose sum is σ = 81068359680. Its totient is φ = 3384115200.

The previous prime is 18290912617. The next prime is 18290912657. The reversal of 18290912640 is 4621909281.

It is a super-2 number, since 2×18290912640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 18290912592 and 18290912601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59579367 + ... + 59579673.

It is an arithmetic number, because the mean of its divisors is an integer number (79168320).

Almost surely, 2^18290912640 is an apocalyptic number.

18290912640 is a gapful number since it is divisible by the number (10) 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 18290912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40534179840).

18290912640 is an abundant number, since it is smaller than the sum of its proper divisors (62777447040).

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

18290912640 is a wasteful number, since it uses less digits than its factorization.

18290912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

It can be divided in two parts, 18290 and 912640, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 18290912640 in words is "eighteen billion, two hundred ninety million, nine hundred twelve thousand, six hundred forty".