742586351431680 has 2496 divisors, whose sum is σ = 3115974035865600. Its totient is φ = 160009814016000.

The previous prime is 742586351431669. The next prime is 742586351431703. The reversal of 742586351431680 is 86134153685247.

742586351431680 is a `hidden beast` number, since 7 + 4 + 2 + 5 + 8 + 6 + 3 + 514 + 31 + 6 + 80 = 666.

It is a super-2 number, since 2×742586351431680² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315859782505 + ... + 315859784855.

It is an arithmetic number, because the mean of its divisors is an integer number (1248387033600).

Almost surely, 2^{742586351431680} is an apocalyptic number.

742586351431680 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 742586351431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557987017932800).

742586351431680 is an abundant number, since it is smaller than the sum of its proper divisors (2373387684433920).

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

742586351431680 is a wasteful number, since it uses less digits than its factorization.

742586351431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 742586351431680 in words is "seven hundred forty-two trillion, five hundred eighty-six billion, three hundred fifty-one million, four hundred thirty-one thousand, six hundred eighty".