7467200640 has 576 divisors, whose sum is σ = 28441108800. Its totient is φ = 1799884800.

The previous prime is 7467200597. The next prime is 7467200669. The reversal of 7467200640 is 460027647.

7467200640 is a `hidden beast` number, since 7 + 4 + 6 + 7 + 2 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 7467200595 and 7467200604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105171805 + ... + 105171875.

It is an arithmetic number, because the mean of its divisors is an integer number (49376925).

Almost surely, 2^7467200640 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 7467200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220554400).

7467200640 is an abundant number, since it is smaller than the sum of its proper divisors (20973908160).

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

7467200640 is a wasteful number, since it uses less digits than its factorization.

7467200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

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

The square root of 7467200640 is about 86412.9656938124. The cubic root of 7467200640 is about 1954.5762029901.

The spelling of 7467200640 in words is "seven billion, four hundred sixty-seven million, two hundred thousand, six hundred forty".