7449953172480 has 2112 divisors, whose sum is σ = 33071064219648. Its totient is φ = 1508439490560.

The previous prime is 7449953172451. The next prime is 7449953172527. The reversal of 7449953172480 is 842713599447.

7449953172480 is a `hidden beast` number, since 7 + 4 + 4 + 99 + 53 + 17 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 28988144512 + ... + 28988144768.

Almost surely, 2^{7449953172480} is an apocalyptic number.

7449953172480 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 7449953172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535532109824).

7449953172480 is an abundant number, since it is smaller than the sum of its proper divisors (25621111047168).

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

7449953172480 is a wasteful number, since it uses less digits than its factorization.

7449953172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 7449953172480 in words is "seven trillion, four hundred forty-nine billion, nine hundred fifty-three million, one hundred seventy-two thousand, four hundred eighty".