7374416400 has 1080 divisors, whose sum is σ = 31604691456. Its totient is φ = 1581465600.

The previous prime is 7374416393. The next prime is 7374416411. The reversal of 7374416400 is 46144737.

It is a happy number.

7374416400 is a `hidden beast` number, since 7 + 3 + 7 + 4 + 4 + 1 + 640 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 237884385 + ... + 237884415.

Almost surely, 2^7374416400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7374416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802345728).

7374416400 is an abundant number, since it is smaller than the sum of its proper divisors (24230275056).

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

7374416400 is a wasteful number, since it uses less digits than its factorization.

7374416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7374416400 is about 85874.4222687990. The cubic root of 7374416400 is about 1946.4468630182.

The spelling of 7374416400 in words is "seven billion, three hundred seventy-four million, four hundred sixteen thousand, four hundred".