7045319761920 has 1344 divisors, whose sum is σ = 27848656967040. Its totient is φ = 1694446387200.

The previous prime is 7045319761913. The next prime is 7045319761951. The reversal of 7045319761920 is 291679135407.

7045319761920 is a `hidden beast` number, since 7 + 0 + 4 + 5 + 3 + 19 + 7 + 619 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25072312180 + ... + 25072312460.

It is an arithmetic number, because the mean of its divisors is an integer number (20720726910).

Almost surely, 2^{7045319761920} 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 7045319761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924328483520).

7045319761920 is an abundant number, since it is smaller than the sum of its proper divisors (20803337205120).

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

7045319761920 is a wasteful number, since it uses less digits than its factorization.

7045319761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 7045319761920 in words is "seven trillion, forty-five billion, three hundred nineteen million, seven hundred sixty-one thousand, nine hundred twenty".