7952493669120 has 4608 divisors, whose sum is σ = 39811934453760. Its totient is φ = 1450471587840.

The previous prime is 7952493669103. The next prime is 7952493669151. The reversal of 7952493669120 is 219663942597.

7952493669120 is a `hidden beast` number, since 7 + 9 + 5 + 249 + 366 + 9 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 108938269404 + ... + 108938269476.

It is an arithmetic number, because the mean of its divisors is an integer number (8639742720).

Almost surely, 2^{7952493669120} is an apocalyptic number.

7952493669120 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 7952493669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905967226880).

7952493669120 is an abundant number, since it is smaller than the sum of its proper divisors (31859440784640).

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

7952493669120 is a wasteful number, since it uses less digits than its factorization.

7952493669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 7952493669120 in words is "seven trillion, nine hundred fifty-two billion, four hundred ninety-three million, six hundred sixty-nine thousand, one hundred twenty".