740081678400 has 567 divisors, whose sum is σ = 2695460109069. Its totient is φ = 192592604160.

The previous prime is 740081678353. The next prime is 740081678407. The reversal of 740081678400 is 4876180047.

The square root of 740081678400 is 860280.

It is a perfect power (a square), and thus also a powerful number.

740081678400 is a `hidden beast` number, since 7 + 400 + 8 + 167 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 266429404224 + 473652274176 = 516168^2 + 688224^2 .

It is a super-2 number, since 2×740081678400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (740081678407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6916651147 + ... + 6916651253.

Almost surely, 2^740081678400 is an apocalyptic number.

740081678400 is the 860280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740081678400

740081678400 is an abundant number, since it is smaller than the sum of its proper divisors (1955378430669).

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

740081678400 is a wasteful number, since it uses less digits than its factorization.

740081678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

It can be divided in two parts, 740081 and 678400, that added together give a square (1418481 = 1191²).

The spelling of 740081678400 in words is "seven hundred forty billion, eighty-one million, six hundred seventy-eight thousand, four hundred".