5374656000 has 960 divisors, whose sum is σ = 23368790016. Its totient is φ = 1161216000.

The previous prime is 5374655987. The next prime is 5374656083. The reversal of 5374656000 is 6564735.

5374656000 is a `hidden beast` number, since 5 + 3 + 7 + 46 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 124991979 + ... + 124992021.

Almost surely, 2^5374656000 is an apocalyptic number.

5374656000 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 5374656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684395008).

5374656000 is an abundant number, since it is smaller than the sum of its proper divisors (17994134016).

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

5374656000 is a wasteful number, since it uses less digits than its factorization.

5374656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5374656000 is about 73312.0453950100. The cubic root of 5374656000 is about 1751.6616598168.

It can be divided in two parts, 53746 and 56000, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 5374656000 in words is "five billion, three hundred seventy-four million, six hundred fifty-six thousand".