7400102719968 has 288 divisors, whose sum is σ = 24404527929600. Its totient is φ = 2083312078848.

The previous prime is 7400102719967. The next prime is 7400102719979. The reversal of 7400102719968 is 8699172010047.

7400102719968 is a `hidden beast` number, since 7 + 400 + 102 + 71 + 9 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7400102719967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63358968 + ... + 63475656.

It is an arithmetic number, because the mean of its divisors is an integer number (84737944200).

Almost surely, 2^{7400102719968} 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 7400102719968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202263964800).

7400102719968 is an abundant number, since it is smaller than the sum of its proper divisors (17004425209632).

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

7400102719968 is a wasteful number, since it uses less digits than its factorization.

7400102719968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117174 (or 117163 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 7400102719968 in words is "seven trillion, four hundred billion, one hundred two million, seven hundred nineteen thousand, nine hundred sixty-eight".