7386197458464 has 480 divisors, whose sum is σ = 25749337743360. Its totient is φ = 2052033523200.

The previous prime is 7386197458421. The next prime is 7386197458489. The reversal of 7386197458464 is 4648547916837.

7386197458464 is a `hidden beast` number, since 7 + 3 + 86 + 1 + 97 + 458 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7386197458392 and 7386197458401.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16573657 + ... + 17013479.

It is an arithmetic number, because the mean of its divisors is an integer number (53644453632).

Almost surely, 2^{7386197458464} 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 7386197458464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874668871680).

7386197458464 is an abundant number, since it is smaller than the sum of its proper divisors (18363140284896).

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

7386197458464 is a wasteful number, since it uses less digits than its factorization.

7386197458464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439906 (or 439889 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 7386197458464 in words is "seven trillion, three hundred eighty-six billion, one hundred ninety-seven million, four hundred fifty-eight thousand, four hundred sixty-four".