7214454149760 has 1536 divisors, whose sum is σ = 29990542982400. Its totient is φ = 1575007027200.

The previous prime is 7214454149753. The next prime is 7214454149779. The reversal of 7214454149760 is 679414544127.

It is a happy number.

7214454149760 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 4 + 541 + 4 + 97 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7214454149697 and 7214454149706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6983982204 + ... + 6983983236.

Almost surely, 2^{7214454149760} 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 7214454149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995271491200).

7214454149760 is an abundant number, since it is smaller than the sum of its proper divisors (22776088832640).

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

7214454149760 is a wasteful number, since it uses less digits than its factorization.

7214454149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7214454149760 in words is "seven trillion, two hundred fourteen billion, four hundred fifty-four million, one hundred forty-nine thousand, seven hundred sixty".