550074470400 has 1404 divisors, whose sum is σ = 2470857513852. Its totient is φ = 115935805440.

The previous prime is 550074470357. The next prime is 550074470443. The reversal of 550074470400 is 4074470055.

550074470400 is a `hidden beast` number, since 5 + 500 + 7 + 44 + 70 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (550074470357) and next prime (550074470443).

It can be written as a sum of positive squares in 6 ways, for example, as 182663921664 + 367410548736 = 427392^2 + 606144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 587058732 + ... + 587059668.

Almost surely, 2^550074470400 is an apocalyptic number.

550074470400 is a gapful number since it is divisible by the number (50) 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 550074470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235428756926).

550074470400 is an abundant number, since it is smaller than the sum of its proper divisors (1920783043452).

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

550074470400 is a wasteful number, since it uses less digits than its factorization.

550074470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 550074470400 in words is "five hundred fifty billion, seventy-four million, four hundred seventy thousand, four hundred".