746401901700 has 432 divisors, whose sum is σ = 2758812758016. Its totient is φ = 152400268800.

The previous prime is 746401901659. The next prime is 746401901701. The reversal of 746401901700 is 7109104647.

It is a super-2 number, since 2×746401901700² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (746401901701) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10967979 + ... + 11035821.

Almost surely, 2^746401901700 is an apocalyptic number.

746401901700 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 746401901700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379406379008).

746401901700 is an abundant number, since it is smaller than the sum of its proper divisors (2012410856316).

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

746401901700 is a wasteful number, since it uses less digits than its factorization.

746401901700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67924 (or 67904 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 746401901700 in words is "seven hundred forty-six billion, four hundred one million, nine hundred one thousand, seven hundred".