7410842640 has 240 divisors, whose sum is σ = 27203544576. Its totient is φ = 1799884800.

The previous prime is 7410842617. The next prime is 7410842723. The reversal of 7410842640 is 462480147.

7410842640 is a `hidden beast` number, since 7 + 4 + 1 + 0 + 8 + 4 + 2 + 640 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 7410842595 and 7410842604.

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, 369675 + ... + 389205.

Almost surely, 2^7410842640 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 7410842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601772288).

7410842640 is an abundant number, since it is smaller than the sum of its proper divisors (19792701936).

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

7410842640 is a wasteful number, since it uses less digits than its factorization.

7410842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19598 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7410842640 is about 86086.2511670708. The cubic root of 7410842640 is about 1949.6464526688.

The spelling of 7410842640 in words is "seven billion, four hundred ten million, eight hundred forty-two thousand, six hundred forty".