4877780497920 has 1200 divisors, whose sum is σ = 19524229213104. Its totient is φ = 1162742169600.

The previous prime is 4877780497901. The next prime is 4877780497921. The reversal of 4877780497920 is 297940877784.

4877780497920 is a `hidden beast` number, since 48 + 7 + 7 + 7 + 8 + 0 + 497 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4877780497921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1530522567 + ... + 1530525753.

Almost surely, 2^{4877780497920} is an apocalyptic number.

4877780497920 is a gapful number since it is divisible by the number (40) 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 4877780497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762114606552).

4877780497920 is an abundant number, since it is smaller than the sum of its proper divisors (14646448715184).

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

4877780497920 is a wasteful number, since it uses less digits than its factorization.

4877780497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 4877780497920 in words is "four trillion, eight hundred seventy-seven billion, seven hundred eighty million, four hundred ninety-seven thousand, nine hundred twenty".