740804613120 has 2112 divisors, whose sum is σ = 3259638869760. Its totient is φ = 152882380800.

The previous prime is 740804613119. The next prime is 740804613173. The reversal of 740804613120 is 21316408047.

740804613120 is a `hidden beast` number, since 74 + 0 + 8 + 0 + 461 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×740804613120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7637160912 + ... + 7637161008.

Almost surely, 2^740804613120 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 740804613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629819434880).

740804613120 is an abundant number, since it is smaller than the sum of its proper divisors (2518834256640).

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

740804613120 is a wasteful number, since it uses less digits than its factorization.

740804613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 740804613120 in words is "seven hundred forty billion, eight hundred four million, six hundred thirteen thousand, one hundred twenty".