734260101120 has 1680 divisors, whose sum is σ = 3410470842240. Its totient is φ = 146767085568.

The previous prime is 734260101097. The next prime is 734260101131. The reversal of 734260101120 is 21101062437.

734260101120 is a `hidden beast` number, since 7 + 3 + 42 + 601 + 0 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38645268471 + ... + 38645268489.

It is an arithmetic number, because the mean of its divisors is an integer number (2030042168).

Almost surely, 2^734260101120 is an apocalyptic number.

734260101120 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 734260101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705235421120).

734260101120 is an abundant number, since it is smaller than the sum of its proper divisors (2676210741120).

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

734260101120 is an frugal number, since it uses more digits than its factorization.

734260101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 734260101120 its reverse (21101062437), we get a palindrome (755361163557).

The spelling of 734260101120 in words is "seven hundred thirty-four billion, two hundred sixty million, one hundred one thousand, one hundred twenty".