7292739960 has 512 divisors, whose sum is σ = 27894067200. Its totient is φ = 1678786560.

The previous prime is 7292739943. The next prime is 7292740027. The reversal of 7292739960 is 699372927.

It is a super-2 number, since 2×7292739960² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7292739897 and 7292739906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20659144 + ... + 20659496.

It is an arithmetic number, because the mean of its divisors is an integer number (54480600).

Almost surely, 2^7292739960 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 7292739960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947033600).

7292739960 is an abundant number, since it is smaller than the sum of its proper divisors (20601327240).

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

7292739960 is a wasteful number, since it uses less digits than its factorization.

7292739960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 7292739960 is about 85397.5407140042. The cubic root of 7292739960 is about 1939.2341150809.

The spelling of 7292739960 in words is "seven billion, two hundred ninety-two million, seven hundred thirty-nine thousand, nine hundred sixty".