7476749280 has 1728 divisors, whose sum is σ = 37852012800. Its totient is φ = 1358622720.

The previous prime is 7476749263. The next prime is 7476749281. The reversal of 7476749280 is 829476747.

7476749280 is a `hidden beast` number, since 7 + 4 + 76 + 7 + 492 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7476749281) 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 287 ways as a sum of consecutive naturals, for example, 393513111 + ... + 393513129.

It is an arithmetic number, because the mean of its divisors is an integer number (21905100).

Almost surely, 2^7476749280 is an apocalyptic number.

7476749280 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 7476749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926006400).

7476749280 is an abundant number, since it is smaller than the sum of its proper divisors (30375263520).

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

7476749280 is a wasteful number, since it uses less digits than its factorization.

7476749280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7476749280 is about 86468.1980846137. The cubic root of 7476749280 is about 1955.4089824907.

The spelling of 7476749280 in words is "seven billion, four hundred seventy-six million, seven hundred forty-nine thousand, two hundred eighty".