7406807400072 has 96 divisors (see below), whose sum is σ = 20324328668280. Its totient is φ = 2436559994880.

The previous prime is 7406807400061. The next prime is 7406807400131. The reversal of 7406807400072 is 2700047086047.

It can be written as a sum of positive squares in 4 ways, for example, as 4820545189476 + 2586262210596 = 2195574^2 + 1608186^2 .

It is a super-2 number, since 2×7406807400072² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963172 + ... + 3967532.

Almost surely, 2^{7406807400072} is an apocalyptic number.

7406807400072 is a gapful number since it is divisible by the number (72) 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 7406807400072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162164334140).

7406807400072 is an abundant number, since it is smaller than the sum of its proper divisors (12917521268208).

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

7406807400072 is a wasteful number, since it uses less digits than its factorization.

7406807400072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004823 (or 3004816 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 7406807400072 in words is "seven trillion, four hundred six billion, eight hundred seven million, four hundred thousand, seventy-two".