7471053874368 has 672 divisors, whose sum is σ = 25879623120000. Its totient is φ = 2057362513920.

The previous prime is 7471053874367. The next prime is 7471053874369. The reversal of 7471053874368 is 8634783501747.

7471053874368 is a `hidden beast` number, since 7 + 4 + 71 + 0 + 53 + 87 + 436 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7471053874367) and next prime (7471053874369).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (7471053874367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6078969178 + ... + 6078970406.

Almost surely, 2^{7471053874368} 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 7471053874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939811560000).

7471053874368 is an abundant number, since it is smaller than the sum of its proper divisors (18408569245632).

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

7471053874368 is a wasteful number, since it uses less digits than its factorization.

7471053874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 7471053874368 in words is "seven trillion, four hundred seventy-one billion, fifty-three million, eight hundred seventy-four thousand, three hundred sixty-eight".