7622748000 has 480 divisors, whose sum is σ = 31984400448. Its totient is φ = 1741824000.

The previous prime is 7622747981. The next prime is 7622748013. The reversal of 7622748000 is 8472267.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 2266320 + ... + 2269680.

Almost surely, 2^7622748000 is an apocalyptic number.

7622748000 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 7622748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992200224).

7622748000 is an abundant number, since it is smaller than the sum of its proper divisors (24361652448).

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

7622748000 is a wasteful number, since it uses less digits than its factorization.

7622748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7622748000 is about 87308.3501161258. The cubic root of 7622748000 is about 1968.0548021622.

The spelling of 7622748000 in words is "seven billion, six hundred twenty-two million, seven hundred forty-eight thousand".