7919370240 has 320 divisors, whose sum is σ = 27179064000. Its totient is φ = 1962934272.

The previous prime is 7919370223. The next prime is 7919370241. The reversal of 7919370240 is 420739197.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 7919370192 and 7919370201.

It is not an unprimeable number, because it can be changed into a prime (7919370241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149422054 + ... + 149422106.

It is an arithmetic number, because the mean of its divisors is an integer number (84934575).

Almost surely, 2^7919370240 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 7919370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589532000).

7919370240 is an abundant number, since it is smaller than the sum of its proper divisors (19259693760).

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

7919370240 is an frugal number, since it uses more digits than its factorization.

7919370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 7919370240 is about 88990.8435739318. The cubic root of 7919370240 is about 1993.2581526164.

The spelling of 7919370240 in words is "seven billion, nine hundred nineteen million, three hundred seventy thousand, two hundred forty".