7372477440 has 440 divisors, whose sum is σ = 27374367240. Its totient is φ = 1895104512.

The previous prime is 7372477423. The next prime is 7372477447. The reversal of 7372477440 is 447742737.

7372477440 is a `hidden beast` number, since 73 + 72 + 4 + 77 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 7365758976 = 2592^2 + 85824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7372477447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12026574 + ... + 12027186.

It is an arithmetic number, because the mean of its divisors is an integer number (62214471).

Almost surely, 2^7372477440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7372477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687183620).

7372477440 is an abundant number, since it is smaller than the sum of its proper divisors (20001889800).

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

7372477440 is a wasteful number, since it uses less digits than its factorization.

7372477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 45.

The square root of 7372477440 is about 85863.1320183465. The cubic root of 7372477440 is about 1946.2762545602.

The spelling of 7372477440 in words is "seven billion, three hundred seventy-two million, four hundred seventy-seven thousand, four hundred forty".