7950628224000 has 3520 divisors, whose sum is σ = 38636699092992. Its totient is φ = 1576599552000.

The previous prime is 7950628223933. The next prime is 7950628224073. The reversal of 7950628224000 is 4228260597.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18361727784 + ... + 18361728216.

Almost surely, 2^{7950628224000} is an apocalyptic number.

7950628224000 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 7950628224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19318349546496).

7950628224000 is an abundant number, since it is smaller than the sum of its proper divisors (30686070868992).

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

7950628224000 is a wasteful number, since it uses less digits than its factorization.

7950628224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 7950628224000 in words is "seven trillion, nine hundred fifty billion, six hundred twenty-eight million, two hundred twenty-four thousand".