746486378820 has 1920 divisors, whose sum is σ = 3277680215040. Its totient is φ = 137594142720.

The previous prime is 746486378783. The next prime is 746486378879. The reversal of 746486378820 is 28873684647.

746486378820 is a `hidden beast` number, since 7 + 4 + 6 + 486 + 3 + 78 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2904616132 + ... + 2904616388.

It is an arithmetic number, because the mean of its divisors is an integer number (1707125112).

Almost surely, 2^746486378820 is an apocalyptic number.

746486378820 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 746486378820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638840107520).

746486378820 is an abundant number, since it is smaller than the sum of its proper divisors (2531193836220).

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

746486378820 is a wasteful number, since it uses less digits than its factorization.

746486378820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 746486378820 in words is "seven hundred forty-six billion, four hundred eighty-six million, three hundred seventy-eight thousand, eight hundred twenty".