555378687864 has 2048 divisors, whose sum is σ = 2322432000000. Its totient is φ = 120708403200.

The previous prime is 555378687847. The next prime is 555378687881. The reversal of 555378687864 is 468786873555.

555378687864 is a `hidden beast` number, since 5 + 5 + 537 + 8 + 6 + 8 + 7 + 86 + 4 = 666.

555378687864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (555378687847) and next prime (555378687881).

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

Its product of digits (1354752000) is a multiple of the sum of its prime divisors (175).

It is a junction number, because it is equal to n+sod(n) for n = 555378687792 and 555378687801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6240209932 + ... + 6240210020.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000000).

Almost surely, 2^555378687864 is an apocalyptic number.

555378687864 is a gapful number since it is divisible by the number (54) 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 555378687864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216000000).

555378687864 is an abundant number, since it is smaller than the sum of its proper divisors (1767053312136).

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

555378687864 is a wasteful number, since it uses less digits than its factorization.

555378687864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 72.

The spelling of 555378687864 in words is "five hundred fifty-five billion, three hundred seventy-eight million, six hundred eighty-seven thousand, eight hundred sixty-four".