7429057020 has 768 divisors, whose sum is σ = 30598041600. Its totient is φ = 1451520000.

The previous prime is 7429056997. The next prime is 7429057043. The reversal of 7429057020 is 207509247.

It is an interprime number because it is at equal distance from previous prime (7429056997) and next prime (7429057043).

It is a super-2 number, since 2×7429057020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73554970 + ... + 73555070.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 2^7429057020 is an apocalyptic number.

7429057020 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 7429057020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

7429057020 is an abundant number, since it is smaller than the sum of its proper divisors (23168984580).

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

7429057020 is a wasteful number, since it uses less digits than its factorization.

7429057020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7429057020 is about 86191.9777009438. The cubic root of 7429057020 is about 1951.2424271641.

The spelling of 7429057020 in words is "seven billion, four hundred twenty-nine million, fifty-seven thousand, twenty".