1477976720000 has 640 divisors, whose sum is σ = 4119353884800. Its totient is φ = 523550720000.

The previous prime is 1477976719963. The next prime is 1477976720021. The reversal of 1477976720000 is 276797741.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8850159917 + ... + 8850160083.

It is an arithmetic number, because the mean of its divisors is an integer number (6436490445).

Almost surely, 2^{1477976720000} is an apocalyptic number.

1477976720000 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 1477976720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059676942400).

1477976720000 is an abundant number, since it is smaller than the sum of its proper divisors (2641377164800).

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

1477976720000 is a wasteful number, since it uses less digits than its factorization.

1477976720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 50.

The spelling of 1477976720000 in words is "one trillion, four hundred seventy-seven billion, nine hundred seventy-six million, seven hundred twenty thousand".