7940384640 has 576 divisors, whose sum is σ = 29872552320. Its totient is φ = 2015539200.

The previous prime is 7940384567. The next prime is 7940384651. The reversal of 7940384640 is 464830497.

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

It is a super-2 number, since 2×7940384640² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130170210 + ... + 130170270.

It is an arithmetic number, because the mean of its divisors is an integer number (51862070).

Almost surely, 2^7940384640 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 7940384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936276160).

7940384640 is an abundant number, since it is smaller than the sum of its proper divisors (21932167680).

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

7940384640 is an frugal number, since it uses more digits than its factorization.

7940384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7940384640 is about 89108.8359255130. The cubic root of 7940384640 is about 1995.0196617430.

The spelling of 7940384640 in words is "seven billion, nine hundred forty million, three hundred eighty-four thousand, six hundred forty".