7553674656 has 384 divisors, whose sum is σ = 25764480000. Its totient is φ = 2128757760.

The previous prime is 7553674649. The next prime is 7553674657. The reversal of 7553674656 is 6564763557.

7553674656 is a `hidden beast` number, since 75 + 53 + 67 + 465 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7553674657) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10653630 + ... + 10654338.

It is an arithmetic number, because the mean of its divisors is an integer number (67095000).

Almost surely, 2^7553674656 is an apocalyptic number.

7553674656 is a gapful number since it is divisible by the number (76) 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 7553674656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882240000).

7553674656 is an abundant number, since it is smaller than the sum of its proper divisors (18210805344).

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

7553674656 is a wasteful number, since it uses less digits than its factorization.

7553674656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 803 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The square root of 7553674656 is about 86911.8786818005. The cubic root of 7553674656 is about 1962.0922624926.

The spelling of 7553674656 in words is "seven billion, five hundred fifty-three million, six hundred seventy-four thousand, six hundred fifty-six".