7257243840 has 448 divisors, whose sum is σ = 29663428608. Its totient is φ = 1458892800.

The previous prime is 7257243803. The next prime is 7257243841. The reversal of 7257243840 is 483427527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 7257243792 and 7257243801.

It is not an unprimeable number, because it can be changed into a prime (7257243841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2289937 + ... + 2293103.

Almost surely, 2^7257243840 is an apocalyptic number.

7257243840 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 7257243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831714304).

7257243840 is an abundant number, since it is smaller than the sum of its proper divisors (22406184768).

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

7257243840 is a wasteful number, since it uses less digits than its factorization.

7257243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 7257243840 is about 85189.4585027983. The cubic root of 7257243840 is about 1936.0827037046.

The spelling of 7257243840 in words is "seven billion, two hundred fifty-seven million, two hundred forty-three thousand, eight hundred forty".