7449385952976 has 320 divisors, whose sum is σ = 21478625280000. Its totient is φ = 2205759191040.

The previous prime is 7449385952909. The next prime is 7449385952999. The reversal of 7449385952976 is 6792595839447.

It is a happy number.

It is a super-2 number, since 2×7449385952976² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 4163993490 + ... + 4163995278.

It is an arithmetic number, because the mean of its divisors is an integer number (67120704000).

Almost surely, 2^{7449385952976} 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 7449385952976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10739312640000).

7449385952976 is an abundant number, since it is smaller than the sum of its proper divisors (14029239327024).

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

7449385952976 is a wasteful number, since it uses less digits than its factorization.

7449385952976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2596 counting only the distinct ones).

The product of its digits is 4115059200, while the sum is 78.

The spelling of 7449385952976 in words is "seven trillion, four hundred forty-nine billion, three hundred eighty-five million, nine hundred fifty-two thousand, nine hundred seventy-six".