7048621440 has 384 divisors, whose sum is σ = 28297900800. Its totient is φ = 1583271936.

The previous prime is 7048621409. The next prime is 7048621487. The reversal of 7048621440 is 441268407.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 7048621395 and 7048621404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2377399 + ... + 2380361.

It is an arithmetic number, because the mean of its divisors is an integer number (73692450).

Almost surely, 2^7048621440 is an apocalyptic number.

7048621440 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 7048621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148950400).

7048621440 is an abundant number, since it is smaller than the sum of its proper divisors (21249279360).

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

7048621440 is a wasteful number, since it uses less digits than its factorization.

7048621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7048621440 is about 83956.0685120498. The cubic root of 7048621440 is about 1917.3499899362.

Adding to 7048621440 its reverse (441268407), we get a palindrome (7489889847).

The spelling of 7048621440 in words is "seven billion, forty-eight million, six hundred twenty-one thousand, four hundred forty".