7628100480 has 1536 divisors, whose sum is σ = 37425024000. Its totient is φ = 1463132160.

The previous prime is 7628100427. The next prime is 7628100539. The reversal of 7628100480 is 840018267.

7628100480 is a `hidden beast` number, since 76 + 2 + 8 + 100 + 480 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 586776954 + ... + 586776966.

It is an arithmetic number, because the mean of its divisors is an integer number (24365250).

Almost surely, 2^7628100480 is an apocalyptic number.

7628100480 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 7628100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512000).

7628100480 is an abundant number, since it is smaller than the sum of its proper divisors (29796923520).

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

7628100480 is a wasteful number, since it uses less digits than its factorization.

7628100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7628100480 is about 87338.9974753546. The cubic root of 7628100480 is about 1968.5153320295.

The spelling of 7628100480 in words is "seven billion, six hundred twenty-eight million, one hundred thousand, four hundred eighty".