7952394240 has 576 divisors, whose sum is σ = 32939524800. Its totient is φ = 1814593536.

The previous prime is 7952394227. The next prime is 7952394253. The reversal of 7952394240 is 424932597.

It is an interprime number because it is at equal distance from previous prime (7952394227) and next prime (7952394253).

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

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, 13547227 + ... + 13547813.

It is an arithmetic number, because the mean of its divisors is an integer number (57186675).

Almost surely, 2^7952394240 is an apocalyptic number.

7952394240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7952394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469762400).

7952394240 is an abundant number, since it is smaller than the sum of its proper divisors (24987130560).

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

7952394240 is a wasteful number, since it uses less digits than its factorization.

7952394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7952394240 is about 89176.1977211408. The cubic root of 7952394240 is about 1996.0249580884.

The spelling of 7952394240 in words is "seven billion, nine hundred fifty-two million, three hundred ninety-four thousand, two hundred forty".