7385414400 has 648 divisors, whose sum is σ = 32520939360. Its totient is φ = 1557135360.

The previous prime is 7385414371. The next prime is 7385414411. The reversal of 7385414400 is 44145837.

7385414400 is a `hidden beast` number, since 73 + 8 + 541 + 4 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5240896 + ... + 5242304.

Almost surely, 2^7385414400 is an apocalyptic number.

7385414400 is a gapful number since it is divisible by the number (70) 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 7385414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260469680).

7385414400 is an abundant number, since it is smaller than the sum of its proper divisors (25135524960).

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

7385414400 is a wasteful number, since it uses less digits than its factorization.

7385414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7385414400 is about 85938.4337767451. The cubic root of 7385414400 is about 1947.4140080008.

The spelling of 7385414400 in words is "seven billion, three hundred eighty-five million, four hundred fourteen thousand, four hundred".