7429072560 has 320 divisors, whose sum is σ = 28773491712. Its totient is φ = 1543753728.

The previous prime is 7429072549. The next prime is 7429072589. The reversal of 7429072560 is 652709247.

It is a super-2 number, since 2×7429072560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1460742 + ... + 1465818.

Almost surely, 2^7429072560 is an apocalyptic number.

7429072560 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 7429072560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386745856).

7429072560 is an abundant number, since it is smaller than the sum of its proper divisors (21344419152).

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

7429072560 is a wasteful number, since it uses less digits than its factorization.

7429072560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 7429072560 is about 86192.0678484975. The cubic root of 7429072560 is about 1951.2437876906.

The spelling of 7429072560 in words is "seven billion, four hundred twenty-nine million, seventy-two thousand, five hundred sixty".