618146696724480 has 1632 divisors, whose sum is σ = 2743902070460928. Its totient is φ = 124972852838400.

The previous prime is 618146696724463. The next prime is 618146696724521. The reversal of 618146696724480 is 84427696641816.

618146696724480 is a `hidden beast` number, since 6 + 1 + 8 + 1 + 4 + 6 + 69 + 67 + 24 + 480 = 666.

It is a super-2 number, since 2×618146696724480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 618146696724399 and 618146696724408.

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, 8402006095 + ... + 8402079665.

Almost surely, 2^{618146696724480} is an apocalyptic number.

618146696724480 is a gapful number since it is divisible by the number (60) 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 618146696724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371951035230464).

618146696724480 is an abundant number, since it is smaller than the sum of its proper divisors (2125755373736448).

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

618146696724480 is a wasteful number, since it uses less digits than its factorization.

618146696724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73669 (or 73636 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 618146696724480 in words is "six hundred eighteen trillion, one hundred forty-six billion, six hundred ninety-six million, seven hundred twenty-four thousand, four hundred eighty".