7428468240 has 240 divisors, whose sum is σ = 27564271488. Its totient is φ = 1783271424.

The previous prime is 7428468227. The next prime is 7428468251. The reversal of 7428468240 is 428648247.

7428468240 is a `hidden beast` number, since 74 + 284 + 68 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268327 + ... + 294713.

Almost surely, 2^7428468240 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 7428468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782135744).

7428468240 is an abundant number, since it is smaller than the sum of its proper divisors (20135803248).

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

7428468240 is a wasteful number, since it uses less digits than its factorization.

7428468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26446 (or 26437 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 7428468240 is about 86188.5621181836. The cubic root of 7428468240 is about 1951.1908780974.

The spelling of 7428468240 in words is "seven billion, four hundred twenty-eight million, four hundred sixty-eight thousand, two hundred forty".