1476793309968 has 240 divisors, whose sum is σ = 4398297276672. Its totient is φ = 460961280000.

The previous prime is 1476793309967. The next prime is 1476793309991. The reversal of 1476793309968 is 8699033976741.

1476793309968 is a `hidden beast` number, since 1 + 476 + 7 + 9 + 3 + 3 + 0 + 99 + 68 = 666.

It is a super-2 number, since 2×1476793309968² (a number of 25 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 = 1476793309896 and 1476793309905.

It is not an unprimeable number, because it can be changed into a prime (1476793309967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776849818 + ... + 776851718.

Almost surely, 2^{1476793309968} is an apocalyptic number.

1476793309968 is a gapful number since it is divisible by the number (18) 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 1476793309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199148638336).

1476793309968 is an abundant number, since it is smaller than the sum of its proper divisors (2921503966704).

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

1476793309968 is a wasteful number, since it uses less digits than its factorization.

1476793309968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 1476793309968 in words is "one trillion, four hundred seventy-six billion, seven hundred ninety-three million, three hundred nine thousand, nine hundred sixty-eight".