7920362340 has 432 divisors, whose sum is σ = 28010795904. Its totient is φ = 1806520320.

The previous prime is 7920362299. The next prime is 7920362341. The reversal of 7920362340 is 432630297.

It is a happy number.

7920362340 is a `hidden beast` number, since 7 + 9 + 20 + 3 + 623 + 4 + 0 = 666.

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 = 7920362295 and 7920362304.

It is not an unprimeable number, because it can be changed into a prime (7920362341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48591099 + ... + 48591261.

Almost surely, 2^7920362340 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 7920362340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14005397952).

7920362340 is an abundant number, since it is smaller than the sum of its proper divisors (20090433564).

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

7920362340 is a wasteful number, since it uses less digits than its factorization.

7920362340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7920362340 is about 88996.4175683493. The cubic root of 7920362340 is about 1993.3413843542.

The spelling of 7920362340 in words is "seven billion, nine hundred twenty million, three hundred sixty-two thousand, three hundred forty".