740753487648 has 288 divisors, whose sum is σ = 2282160666240. Its totient is φ = 227209973760.

The previous prime is 740753487631. The next prime is 740753487697. The reversal of 740753487648 is 846784357047.

740753487648 is a `hidden beast` number, since 7 + 40 + 7 + 53 + 487 + 64 + 8 = 666.

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

It is a super-3 number, since 3×740753487648³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53972115 + ... + 53985837.

It is an arithmetic number, because the mean of its divisors is an integer number (7924168980).

Almost surely, 2^740753487648 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 740753487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141080333120).

740753487648 is an abundant number, since it is smaller than the sum of its proper divisors (1541407178592).

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

740753487648 is a wasteful number, since it uses less digits than its factorization.

740753487648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14072 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 740753487648 in words is "seven hundred forty billion, seven hundred fifty-three million, four hundred eighty-seven thousand, six hundred forty-eight".