90670426704000 has 6144 divisors, whose sum is σ = 430341368970240. Its totient is φ = 18632540160000.

The previous prime is 90670426703971. The next prime is 90670426704007. The reversal of 90670426704000 is 40762407609.

90670426704000 is a `hidden beast` number, since 90 + 6 + 70 + 4 + 26 + 70 + 400 + 0 = 666.

It is a super-2 number, since 2×90670426704000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90670426704007) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 500941583910 + ... + 500941584090.

Almost surely, 2^{90670426704000} is an apocalyptic number.

90670426704000 is a gapful number since it is divisible by the number (90) 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 90670426704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215170684485120).

90670426704000 is an abundant number, since it is smaller than the sum of its proper divisors (339670942266240).

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

90670426704000 is a wasteful number, since it uses less digits than its factorization.

90670426704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 90670426704000 in words is "ninety trillion, six hundred seventy billion, four hundred twenty-six million, seven hundred four thousand".