7466241002400 has 864 divisors, whose sum is σ = 28109845698480. Its totient is φ = 1858275901440.

The previous prime is 7466241002399. The next prime is 7466241002443. The reversal of 7466241002400 is 42001426647.

7466241002400 is a `hidden beast` number, since 7 + 4 + 6 + 6 + 241 + 0 + 0 + 2 + 400 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1028999244816 + 6437241757584 = 1014396^2 + 2537172^2 .

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 143 ways as a sum of consecutive naturals, for example, 11093968464 + ... + 11093969136.

Almost surely, 2^{7466241002400} 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 7466241002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054922849240).

7466241002400 is an abundant number, since it is smaller than the sum of its proper divisors (20643604696080).

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

7466241002400 is a wasteful number, since it uses less digits than its factorization.

7466241002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 7466241002400 in words is "seven trillion, four hundred sixty-six billion, two hundred forty-one million, two thousand, four hundred".