1977464466432 has 528 divisors, whose sum is σ = 7037443725312. Its totient is φ = 520795422720.

The previous prime is 1977464466421. The next prime is 1977464466437. The reversal of 1977464466432 is 2346644647791.

It is a happy number.

1977464466432 is a `hidden beast` number, since 1 + 9 + 7 + 74 + 64 + 466 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1977464466432.

It is not an unprimeable number, because it can be changed into a prime (1977464466437) 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, 864653193 + ... + 864655479.

It is an arithmetic number, because the mean of its divisors is an integer number (13328491904).

Almost surely, 2^{1977464466432} is an apocalyptic number.

1977464466432 is a gapful number since it is divisible by the number (12) 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 1977464466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518721862656).

1977464466432 is an abundant number, since it is smaller than the sum of its proper divisors (5059979258880).

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

1977464466432 is a wasteful number, since it uses less digits than its factorization.

1977464466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3343 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 1977464466432 in words is "one trillion, nine hundred seventy-seven billion, four hundred sixty-four million, four hundred sixty-six thousand, four hundred thirty-two".