5974214400 has 864 divisors, whose sum is σ = 27373248000. Its totient is φ = 1238630400.

The previous prime is 5974214399. The next prime is 5974214423. The reversal of 5974214400 is 44124795.

It is a happy number.

5974214400 is a `hidden beast` number, since 597 + 4 + 21 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 13305376 + ... + 13305824.

It is an arithmetic number, because the mean of its divisors is an integer number (31682000).

Almost surely, 2^5974214400 is an apocalyptic number.

5974214400 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 5974214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686624000).

5974214400 is an abundant number, since it is smaller than the sum of its proper divisors (21399033600).

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

5974214400 is a wasteful number, since it uses less digits than its factorization.

5974214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5974214400 is about 77293.0423776940. The cubic root of 5974214400 is about 1814.5137690762.

The spelling of 5974214400 in words is "five billion, nine hundred seventy-four million, two hundred fourteen thousand, four hundred".