7456734240 has 192 divisors, whose sum is σ = 24078974976. Its totient is φ = 1938824192.

The previous prime is 7456734221. The next prime is 7456734277. The reversal of 7456734240 is 424376547.

It is a super-3 number, since 3×7456734240³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7456734192 and 7456734201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8640049 + ... + 8640911.

It is an arithmetic number, because the mean of its divisors is an integer number (125411328).

Almost surely, 2^7456734240 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 7456734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039487488).

7456734240 is an abundant number, since it is smaller than the sum of its proper divisors (16622240736).

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

7456734240 is a wasteful number, since it uses less digits than its factorization.

7456734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 7456734240 is about 86352.3841014248. The cubic root of 7456734240 is about 1953.6625655672.

The spelling of 7456734240 in words is "seven billion, four hundred fifty-six million, seven hundred thirty-four thousand, two hundred forty".