7253962560 has 896 divisors, whose sum is σ = 30416601600. Its totient is φ = 1610219520.

The previous prime is 7253962553. The next prime is 7253962561. The reversal of 7253962560 is 652693527.

7253962560 is a `hidden beast` number, since 7 + 2 + 5 + 396 + 256 + 0 = 666.

It is a super-4 number, since 4×7253962560⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253962561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55373695 + ... + 55373825.

It is an arithmetic number, because the mean of its divisors is an integer number (33947100).

Almost surely, 2^7253962560 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 7253962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208300800).

7253962560 is an abundant number, since it is smaller than the sum of its proper divisors (23162639040).

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

7253962560 is a wasteful number, since it uses less digits than its factorization.

7253962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 7253962560 is about 85170.1976045612. The cubic root of 7253962560 is about 1935.7908671485.

The spelling of 7253962560 in words is "seven billion, two hundred fifty-three million, nine hundred sixty-two thousand, five hundred sixty".