7393378956480 has 448 divisors, whose sum is σ = 28990181491200. Its totient is φ = 1758515466240.

The previous prime is 7393378956443. The next prime is 7393378956499. The reversal of 7393378956480 is 846598733937.

7393378956480 is a `hidden beast` number, since 7 + 3 + 93 + 3 + 7 + 8 + 9 + 56 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7393378956399 and 7393378956408.

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, 4303231 + ... + 5771009.

Almost surely, 2^{7393378956480} 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 7393378956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495090745600).

7393378956480 is an abundant number, since it is smaller than the sum of its proper divisors (21596802534720).

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

7393378956480 is a wasteful number, since it uses less digits than its factorization.

7393378956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467869 (or 1467853 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 7393378956480 in words is "seven trillion, three hundred ninety-three billion, three hundred seventy-eight million, nine hundred fifty-six thousand, four hundred eighty".