7542374400 has 768 divisors, whose sum is σ = 31205145600. Its totient is φ = 1769472000.

The previous prime is 7542374351. The next prime is 7542374401. The reversal of 7542374400 is 44732457.

7542374400 is a `hidden beast` number, since 7 + 542 + 3 + 74 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7542374401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243302385 + ... + 243302415.

It is an arithmetic number, because the mean of its divisors is an integer number (40631700).

Almost surely, 2^7542374400 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 7542374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602572800).

7542374400 is an abundant number, since it is smaller than the sum of its proper divisors (23662771200).

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

7542374400 is a wasteful number, since it uses less digits than its factorization.

7542374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 7542374400 is about 86846.8445022616. The cubic root of 7542374400 is about 1961.1133477462.

The spelling of 7542374400 in words is "seven billion, five hundred forty-two million, three hundred seventy-four thousand, four hundred".