7280269920 has 864 divisors, whose sum is σ = 32123879424. Its totient is φ = 1468938240.

The previous prime is 7280269877. The next prime is 7280269937. The reversal of 7280269920 is 299620827.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57324897 + ... + 57325023.

It is an arithmetic number, because the mean of its divisors is an integer number (37180416).

It is a vampire number, since it can be written as 78960 ⋅ 92202 (with its own digits).

Almost surely, 2^7280269920 is an apocalyptic number.

7280269920 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 7280269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061939712).

7280269920 is an abundant number, since it is smaller than the sum of its proper divisors (24843609504).

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

7280269920 is a wasteful number, since it uses less digits than its factorization.

7280269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7280269920 is about 85324.4977717420. The cubic root of 7280269920 is about 1938.1281693710.

The spelling of 7280269920 in words is "seven billion, two hundred eighty million, two hundred sixty-nine thousand, nine hundred twenty".