745872049440 has 384 divisors, whose sum is σ = 3044381760000. Its totient is φ = 170484701184.

The previous prime is 745872049427. The next prime is 745872049441. The reversal of 745872049440 is 44940278547.

745872049440 is a `hidden beast` number, since 7 + 45 + 8 + 72 + 0 + 494 + 40 = 666.

It is a super-2 number, since 2×745872049440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (745872049441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230076 + ... + 1733444.

It is an arithmetic number, because the mean of its divisors is an integer number (7928077500).

Almost surely, 2^745872049440 is an apocalyptic number.

745872049440 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 745872049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522190880000).

745872049440 is an abundant number, since it is smaller than the sum of its proper divisors (2298509710560).

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

745872049440 is a wasteful number, since it uses less digits than its factorization.

745872049440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503414 (or 503386 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 745872049440 in words is "seven hundred forty-five billion, eight hundred seventy-two million, forty-nine thousand, four hundred forty".