7964669462400 has 1152 divisors, whose sum is σ = 34510492972800. Its totient is φ = 1708473876480.

The previous prime is 7964669462383. The next prime is 7964669462429. The reversal of 7964669462400 is 42649664697.

7964669462400 is a `hidden beast` number, since 7 + 96 + 46 + 6 + 9 + 462 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 409843084 + ... + 409862516.

It is an arithmetic number, because the mean of its divisors is an integer number (29957025150).

Almost surely, 2^{7964669462400} is an apocalyptic number.

7964669462400 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 7964669462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17255246486400).

7964669462400 is an abundant number, since it is smaller than the sum of its proper divisors (26545823510400).

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

7964669462400 is a wasteful number, since it uses less digits than its factorization.

7964669462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19596 (or 19576 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 7964669462400 in words is "seven trillion, nine hundred sixty-four billion, six hundred sixty-nine million, four hundred sixty-two thousand, four hundred".