7287477120 has 512 divisors, whose sum is σ = 32184345600. Its totient is φ = 1514004480.

The previous prime is 7287477097. The next prime is 7287477143. The reversal of 7287477120 is 217747827.

It is an interprime number because it is at equal distance from previous prime (7287477097) and next prime (7287477143).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1327822 + ... + 1333298.

It is an arithmetic number, because the mean of its divisors is an integer number (62860050).

Almost surely, 2^7287477120 is an apocalyptic number.

7287477120 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 7287477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092172800).

7287477120 is an abundant number, since it is smaller than the sum of its proper divisors (24896868480).

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

7287477120 is a wasteful number, since it uses less digits than its factorization.

7287477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The square root of 7287477120 is about 85366.7213848582. The cubic root of 7287477120 is about 1938.7675170235.

The spelling of 7287477120 in words is "seven billion, two hundred eighty-seven million, four hundred seventy-seven thousand, one hundred twenty".