407742699672 has 1536 divisors, whose sum is σ = 1604468736000. Its totient is φ = 90326016000.

The previous prime is 407742699671. The next prime is 407742699731. The reversal of 407742699672 is 276996247704.

407742699672 is a `hidden beast` number, since 407 + 74 + 2 + 6 + 9 + 96 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407742699671) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4581378604 + ... + 4581378692.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576000).

Almost surely, 2^407742699672 is an apocalyptic number.

407742699672 is a gapful number since it is divisible by the number (42) 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 407742699672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802234368000).

407742699672 is an abundant number, since it is smaller than the sum of its proper divisors (1196726036328).

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

407742699672 is a wasteful number, since it uses less digits than its factorization.

407742699672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 407742699672 in words is "four hundred seven billion, seven hundred forty-two million, six hundred ninety-nine thousand, six hundred seventy-two".