1476363564340 has 288 divisors, whose sum is σ = 3777028738560. Its totient is φ = 482915913984.

The previous prime is 1476363564337. The next prime is 1476363564391. The reversal of 1476363564340 is 434653636741.

It is a super-2 number, since 2×1476363564340² (a number of 25 digits) contains 22 as substring.

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, 405258559 + ... + 405262201.

It is an arithmetic number, because the mean of its divisors is an integer number (13114683120).

Almost surely, 2^{1476363564340} is an apocalyptic number.

1476363564340 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 1476363564340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888514369280).

1476363564340 is an abundant number, since it is smaller than the sum of its proper divisors (2300665174220).

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

1476363564340 is a wasteful number, since it uses less digits than its factorization.

1476363564340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 52.

The spelling of 1476363564340 in words is "one trillion, four hundred seventy-six billion, three hundred sixty-three million, five hundred sixty-four thousand, three hundred forty".